International Nuclear Information System (INIS)
Short duration or weak expression of oestrus are frequently cited as major reasons for poor results when artificial insemination of Bos indicus breeds is attempted. The existing literature on sexual behaviour certainly indicates that oestrus sometimes lasts for only a few hours in Bos indicus, but similar patterns are also reported in Bos taurus animals. The period of sexual receptivity in suckled Hereford or Hereford-dairy cross-breds maintained in small, totally confined groups ranged from 1 to 18 h, with a mean of 4.4 h and a median of 3.5 h. In totally confined Holstein cows the onset of the LH surge always followed the beginning of homosexual activity by 1 or 2 h even when the period of receptivity was very short. Thus, the beginning rather than the end of oestrus should be used for estimating ovulation time. The expression of sexual behaviour is modified by many factors, including environmental conditions, the number of peri-oestrous females in the group and the presence of observers. In Hereford beef, Holstein dairy and probably all other cattle breeds, the variability in duration and intensity of oestrous activity is very large, so generalizations on a typical individual behavioural pattern are not possible. (author). 39 refs, 1 fig., 2 tabs
Lying aversion and prosocial behaviour
Biziou-van-Pol, Laura; Novaro, Arianna; Liberman, Andrés Occhipinti; Capraro, Valerio
2015-01-01
The focus of this paper is the moral conflict between lying aversion and prosociality. What does telling a white lie signal about a person's prosocial tendencies? How does believing a possibly untruthful message signal about a listener's prosocial tendencies? To answer these questions, we conducted a 2x3 experiment. In the first stage we measured altruistic tendencies using a Dictator Game and cooperative tendencies using a Prisoner's dilemma. In the second stage, we used a sender-receiver game to measure aversion to telling a Pareto white lie (i.e., a lie that helps both the liar and the listener), aversion to telling an altruistic white lie (i.e., a lie that helps the listener at the expense of the liar), and skepticism towards believing a possibly untruthful message. We found three major results: (i) both altruism and cooperation are positively correlated with aversion to telling a Pareto white lie; (ii) neither altruism nor cooperation are significantly correlated with aversion to telling an altruistic wh...
Preliminary observations on behaviour of limousine and highland cattle
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Jarosław Pytlewski
2011-09-01
Full Text Available The aim of the study was to characterise behaviour of limousine and highland cattle kept on permanent grassland on a farm in the Wielkopolska region. Investigations consisted of observations conducted on the behaviour of animals in two herds of limousine and highland cattle during the four seasons of the year. Frequency was recorded for the following activities performed by animals: food consumption, drinking of water, rumination, resting (lying down, rubbing, allolicking, fights and excretion (urine, faeces. The second stage of the study comprised detailed descriptions of behaviour of animals on the pasture. Observations were conducted on a herd composed of dams, juvenile animals (up to seven-eight months old and a bull.
Repeated gentle handling in beef cattle: heart rate and behaviour
Schulze Westerath, Heike; Probst, Johanna; Gygox, Lorenz; Hillmann, Edna
2010-01-01
A good animal-human relationship is one important aspect concerning cattle welfare. The aim of this study was to investigate the effect of gentle handling at head and neck on behaviour and heart beat parameters in beef cattle.
Behavioural assessment of pain in dairy cattle with mastitis
Medrano-Galarza, Catalina
2011-01-01
Assessing pain and discomfort experience in cattle is one of the main concerns of farm animal welfare science. Both behavioural and physiological measures have been used as indicators of pain; however, due to impracticability and invasiveness that physiological measures involve, behavioural measures are currently the most used parameter to assess pain in cattle. The scientific assessment of pain has been focused on farm procedures such as dehorning, branding and castration. Non...
INFLUENCE OF AGE, GENDER AND SIRE LINE ON YOUNG CATTLE BEHAVIOUR TRAITS
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Jan Broucek
2013-03-01
Full Text Available The aim of this study was to test effects of age, gender, and sire line on dairy cattle behaviour. We have analyzed results of ethological tests for 40 Holstein breed animals (23 males and 17 females, offsprings of three sires. Maintenance behaviour were observed at the age of 90, 130 and 170 days. Behaviour in the maze was conducted at the age of 119 days, an open-field test was applied at the age of 124, 168, and 355 days. The social behaviour was determined by feeding on 155th day of the age. The times and the number of periods in all activities of maintenance behaviour were changing significantly (P<0.001 according to the age. The total time of lying, lying with ruminating, ruminating, feeding was increasing from the age of 90 days to the age of 170 days, on the other hand the time of standing was decreasing. The times of total lying, lying with ruminating, total ruminating, feeding were increased, and time of standing was decreased from the age of 90 days to the age of 170 days. Calves spent more time lying on the left side than on the right side. The number of ruminating periods was increasing according to the age. Eating periods were decreasing from the age of 90 to 170 days. The most of lying periods were recorded at the age of 130 days. The differences between sex were found in total time of lying, lying on the right side (P<0.05, and the males rest longer and had more periods of lying than females. We have found differences in times of feeding (P<0.001, total lying, standing (P<0.01, and lying on the left side (P<0.05 according to sire by comparing behaviour of the calves. Sire genotypes were significantly manifested in period number of total lying (P<0.001, lying on the right side, feeding (P<0.01, and standing (P<0.05. Males stood in the first part of maze longer than females (P<0.001, also length of total standing was longer by bulls (P<0.01. Heifers took shorter time to leave the maze than bulls (P<0.05. Sire lineages significantly
Ledgerwood, D N; Winckler, C; Tucker, C B
2010-11-01
Lying behavior in dairy cattle can provide insight into how cows interact with their environment. Although lying behavior is a useful indicator of cow comfort, it can be time consuming to measure. In response to these time constraints, using data loggers to automate behavioral recording has become increasingly common. We tested the accuracy of the Onset Pendant G data logger (Onset Computer Corporation, Bourne, MA) for measuring lying behavior in dairy cattle (n=24 cows; 12 in each of 2 experiments). Cows wore the logger on the lateral (experiment 1) or medial (experiment 2) side of the hind leg above the metatarsophalangeal joint. Loggers recorded behavior at 4 sampling intervals (6, 30, 60, and 300 s) for at least 1.5 d. Data were smoothed using 3 editing methods to examine the effects of short, potentially erroneous readings. For this purpose, Microsoft Excel macros (Microsoft Corp., Redmond, WA) converted readings (i.e., lying events bordered by standing or vice versa) occurring singly or in consecutive runs of ≤2 or ≤6. Behavior was simultaneously recorded with digital video equipment. The logger accurately measured lying and standing. For example, predictability, sensitivity, and specificity were >99% using 30-s sampling and the single-event filter compared with continuously scored video recordings. The 6- and 30-s sampling intervals were comparable for all aspects of lying behavior when short events were filtered from the data set. Estimates of lying time generated from the 300-s interval unfiltered regimen were positively related (R(2) ≥ 0.99) to estimates of lying time from video, but this sampling regimen overestimated the number of lying bouts. This is likely because short standing and lying bouts were missed (12 and 34% of lying and standing bouts were <300 s in experiment 1 and 2, respectively). In summary, the data logger accurately measured all aspects of lying behavior when the sampling interval was ≤30 s and when short readings of lying and
Effects of pen floor and class of live weight on behavioural and clinical parameters of beef cattle
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Giulio Cozzi
2010-01-01
Full Text Available The study compared behaviour and clinical parameters of beef cattle housed on two different types of floor (fully slatted vs. deep litter considering animals belonging to 2 live weight classes (less vs. more than 350 kg. The assessment of behavioural and clinical parameters was carried out in 20 intensive farms, all rearing imported bulls. Floor type had no effect on cattle behaviour except for the duration of the lying down sequence, which lasted more for bulls kept on slats. Slatted floor increased also the likelihood of occurrence of hair and skin lesions and lameness. On the other hand, bulls cleanliness was more likely to be impaired on bedded floor. Regarding the class of live weight, behavioural observation showed lighter animals performing more antagonistic interactions, while horning resulted more frequent in heavier bulls. Avoidance distance test indicated that bulls >350 kg were more fearful of humans. About health status, light animals were more affected by respiratory disease and hairless patches, likely because they are more sensitive to the stressful situations imposed by their transfer and adaptation to the new housing environment of the fattening unit. The risk of skin lesions and dirtiness increased instead in heavier bulls.
Social behaviour of cattle in tropical silvopastoral and monoculture systems.
Améndola, L; Solorio, F J; Ku-Vera, J C; Améndola-Massiotti, R D; Zarza, H; Galindo, F
2016-05-01
Silvopastoral systems can be a good alternative for sustainable livestock production because they can provide ecosystem services and improve animal welfare. Most farm animals live in groups and the social organization and interactions between individuals have an impact on their welfare. Therefore, the objective of this study was to describe and compare the social behaviour of cattle (Bos indicus×Bos taurus) in a silvopastoral system based on a high density of leucaena (Leucaena leucocephala) combined with guinea grass (Megathyrsus maximus), star grass (Cynodon nlemfuensis) and some trees; with a monoculture system with C. nlemfuensis, in the region of Merida, Yucatán. Eight heifers in each system were observed from 0730 to 1530 h each day for 12 consecutive days during the dry season and 12 consecutive days during the rainy season. The animals followed a rotation between three paddocks, remaining 4 days in each paddock. The vegetation was characterized in the paddocks of the silvopastoral system to estimate the average percentage of shade provided. To make a comparison between systems, we used a t test with group dispersion, and Mann-Whitney tests with the frequency of affiliative and agonistic behaviours. We assessed differences in linearity and stability of dominance hierarchies using Landau's index and Dietz R-test, respectively. The distance of cows with respect to the centroid of the group was shorter, and non-agonistic behaviours were 62% more frequent in the intensive silvopastoral system than in the monoculture one. Heifers in the silvopastoral system had a more linear and non-random dominance hierarchy in both seasons (dry season: h'=0.964; rainy season: h'=0.988), than heifers in the monoculture system (dry season: h'=0.571, rainy season: h'=0.536). The dominance hierarchy in the silvopastoral system was more stable between seasons (R-test=0.779) than in the monoculture system (R-test=0.224). Our results provide the first evidence that heifers in the
Resource heterogeneity and foraging behaviour of cattle across spatial scales
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Demment Montague W
2009-04-01
Full Text Available Abstract Background Understanding the mechanisms that influence grazing selectivity in patchy environments is vital to promote sustainable production and conservation of cultivated and natural grasslands. To better understand how patch size and spatial dynamics influence selectivity in cattle, we examined grazing selectivity under 9 different treatments by offering alfalfa and fescue in patches of 3 sizes spaced with 1, 4, and 8 m between patches along an alley. We hypothesized that (1 selectivity is driven by preference for the forage species that maximizes forage intake over feeding scales ranging from single bites to patches along grazing paths, (2 that increasing patch size enhances selectivity for the preferred species, and that (3 increasing distances between patches restricts selectivity because of the aggregation of scale-specific behaviours across foraging scales. Results Cows preferred and selected alfalfa, the species that yielded greater short-term intake rates (P Conclusion We conclude that patch size and spacing affect components of intake rate and, to a lesser extent, the selectivity of livestock at lower hierarchies of the grazing process, particularly by enticing livestock to make more even use of the available species as patches are spaced further apart. Thus, modifications in the spatial pattern of plant patches along with reductions in the temporal and spatial allocation of grazing may offer opportunities to improve uniformity of grazing by livestock and help sustain biodiversity and stability of plant communities.
Intake, digestibility and intake behaviour in cattle fed different levels of palm kernel cake
Ana Carolina Fereira; Ronaldo Lopes O.; Adriana Regina B.; Gleidson Giordano Pinto de C.; Raimundo Nunes Vaz S.; Paulo Andrade O.
2012-01-01
ABSTRACTObjective. The potential use of palm kernel cake was evaluated as a replacement for soybean and corn meal in cattle feed, by investigating their intake, digestibility levels and the intake behaviour of cattle fed diets containing different levels of palm kernel cake concentrate. Materials and methods. The experiment was conducted at the Experimental Farm of the Federal University of Bahia, between August and October 2009. Five crossbred Holstein × Zebu adults, were used. A 5 × 5 Latin...
Ward, A I; Judge, J; Delahay, R J
2010-01-01
Bovine tuberculosis (bTB) is a serious disease of cattle in the UK in terms of the economic impact on the farming industry. The disease has proven difficult to control in the cattle population and the Eurasian badger (Meles meles) is a source of infection. In recent years, there has been growing interest in the potential to employ farm husbandry and biosecurity practices to reduce bTB transmission risks. Here we review the potential routes of bTB transmission between badgers and cattle and explore the options for managing cattle and badger behaviour with a view to reducing the risks of inter-species transmission at pasture and within farm buildings. We discuss the relative merits of different cattle grazing regimes, habitat manipulations and badger latrine management in reducing the potential for badger-cattle contact at pasture. The physical exclusion of badgers from farm buildings is suggested as the simplest, and potentially most effective, method of reducing contact and opportunities for disease transmission between badgers and cattle. However, more research is required on the effectiveness, practicalities and costs of implementing such measures before specific guidance can be developed. PMID:19846226
The behaviour of hot particles in the organism of cattle
International Nuclear Information System (INIS)
Radionuclide deposition in various organs of lactating cattle and their physiological effect has been studied. Model hot particles similar to those from Chernobyl accident are used. Two types of particles (washed and unwashed condensed phase) have been introduced in gastrointestinal tract (GIT) of the cattle. Particle dynamics in the GIT, radionuclide transfer to animal organism and possible biological consequences have been studied in 9-day-experiment (from the introduction of the hot particles to the slaughter). Distribution of 11 isotopes of Sr, Ru, Cs, Eu and Pu have been traced in different organs. A very small amount of radionuclides have been found in the internal organs after the slaughter: in GIT the percentage of nuclides from the amount introduced is the following: for 137Cs: 0.14 (I group) and 0.19 (II group); for 134Cs - 0.16 and 0.22; for 144Ce - 0.14 and 0.05 respectively. The removal goes mainly with faeces and much less with urine and milk. The peak of cesium concentration in milk is observed in the early period after introduction in GIT (44-68 hours). For the whole period the removed quantities are: I group - 0.173% of 134Cs and 0.166% of 137Cs; II group - 0.106% and 0.104% respectively. The percentage of cesium transfered to cows' organism is the following: I group - 1.61% of 137Cs and 1.65% for 134Cs; II group - 1.04% and 1.11%, respectively. Haematological analysis show an increased amount of leucoytes and neutrophiles. An efficient filtering of nuclides in organs and tissues have been observed. A significant difference in distribution of nuclides from hot particles compared to single introduction of radionuclides is found. Small deviations in haematological parameters have been observed and no local effects in GIT have been found. (author)
Bonk, Stephanie; Nadalin, Audrey; Heuwieser, Wolfgang; Veira, Douglas
2016-08-01
Oesophageal tube feeding colostrum is used to ensure sufficient colostrum intake in newborn calves but the impact of tube feeding on animal behaviour is unclear. Therefore the objective of this study was to compare lying behaviour of tube-fed or bottle-fed dairy calves. Calves (n = 37) in 3 groups were offered 3·5 l colostrum 2 h after birth. Calves of the bottle group were fed with a nipple bottle. Calves of the placebo tubing group were tubed for 4 min but no colostrum was given and they were then fed with a nipple bottle. Calves of the tubing group received 3·5 l colostrum via tube feeding. Consumed amount of bottle and placebo tubing calves was recorded. If they refused some of the offered 3·5 l the rest was offered in a second feeding 2 h later. Lying behaviour was measured by data loggers fitted to right hind leg for 3 d. Blood samples were taken 24 h after birth for determination of IgG concentration. The voluntary colostrum intake differed significantly between bottle-fed and placebo tubed calves at first feeding. Considering both colostrum feedings, bottle-fed calves consumed 3·44 ± 0·14 l and placebo tubed calves consumed 3·20 ± 0·38 l colostrum. ImmunoglobulinG intake (255·6 ± 77·5 g IgG), serum IgG concentration 24 h after birth (22·8 ± 6·7 g/l) and total serum protein concentration (6·1 ± 0·6 g/dl) did not differ between groups. None of the calves had a failure of passive transfer. There was no effect of tubing on lying behaviour. PMID:27600963
ONE YEAR STUDY OF LYING AND STANDING BEHAVIOUR OF DAIRY COWS IN A FRESTALL BARN IN ITALY
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Giorgio Provolo
2009-06-01
Full Text Available Dairy farm buildings can have, as it is well known, a big influence on the microclimatic conditions in the cowshed. In order to examine the influence of environmental parameters on the conditions affecting animal welfare, an experimental programme was set up at a farm where anomalous behaviour of cows had been previously noted. The research was carried out in a freestall barn from June 2004 till June 2005. Part of the research involved a detailed monitoring of animal movements and a simultaneous measurement of temperature and humidity within the cowshed. The behaviour of cows has been obtained by the analysis of a recorded video and expressed through indices. A strict relationship between environmental parameters and animal movement has been confirmed by the results obtained. The proportion of animals resting in stalls during the daytime, not affected by milking or feeding, rised from 30% in hot periods to 75% in winter time. The highly significant (P<0.01 correlation obtained between environmental parameters and cow behaviour confirmed the strong influence of THI on total proportion of lying cows. However, the variation in cow behaviour when temperature values were inside the range considered optimal for cows, suggests the influence of other parameters, like direct radiation.
Behavioural responses of stable flies to cattle manure slurry associated odourants.
Tangtrakulwanich, K; Albuquerque, T A; Brewer, G J; Baxendale, F P; Zurek, L; Miller, D N; Taylor, D B; Friesen, K A; Zhu, J J
2015-03-01
Stable flies (Stomoxys calcitrans [Diptera: Muscidae] L.) are blood-feeding synanthropic pests, which cause significant economic losses in livestock. Stable fly antennae contain olfactory sensilla responsive to host and host environment-associated odours. Field observation indicated that the abundance of stable flies increased significantly in grasslands or crop fields when cattle manure slurry was applied. Major volatile compounds emanating from manure slurry were collected and identified. Behavioural responses of stable flies to those compounds were investigated in laboratory bioassays and field-trapping studies. Results from olfactometer assays revealed that phenol, p-cresol and m-cresol were attractive to adult stable flies. When tested individually, attraction was higher with lower dosages. Stable flies were most attracted to blends of phenol and m-cresol or p-cresol. Traps with binary blend lures caught more stable flies in field trials as well. PMID:25557192
Friedrich, Juliane; Brand, Bodo; Ponsuksili, Siriluck; Graunke, Katharina L; Langbein, Jan; Knaust, Jacqueline; Kühn, Christa; Schwerin, Manfred
2016-02-01
Behaviour traits of cattle have been reported to affect important production traits, such as meat quality and milk performance as well as reproduction and health. Genetic predisposition is, together with environmental stimuli, undoubtedly involved in the development of behaviour phenotypes. Underlying molecular mechanisms affecting behaviour in general and behaviour and productions traits in particular still have to be studied in detail. Therefore, we performed a genome-wide association study in an F2 Charolais × German Holstein cross-breed population to identify genetic variants that affect behaviour-related traits assessed in an open-field and novel-object test and analysed their putative impact on milk performance. Of 37,201 tested single nucleotide polymorphism (SNPs), four showed a genome-wide and 37 a chromosome-wide significant association with behaviour traits assessed in both tests. Nine of the SNPs that were associated with behaviour traits likewise showed a nominal significant association with milk performance traits. On chromosomes 14 and 29, six SNPs were identified to be associated with exploratory behaviour and inactivity during the novel-object test as well as with milk yield traits. Least squares means for behaviour and milk performance traits for these SNPs revealed that genotypes associated with higher inactivity and less exploratory behaviour promote higher milk yields. Whether these results are due to molecular mechanisms simultaneously affecting behaviour and milk performance or due to a behaviour predisposition, which causes indirect effects on milk performance by influencing individual reactivity, needs further investigation. PMID:26515756
Heyman, Gail D.; Luu, Diem H.; Lee, Kang
2009-01-01
The present set of studies identifies the phenomenon of "parenting by lying", in which parents lie to their children as a means of influencing their emotional states and behaviour. In Study 1, undergraduates (n = 127) reported that their parents had lied to them while maintaining a concurrent emphasis on the importance of honesty. In Study 2 (n =…
Dwane, Andrea M.; More, Simon John; Blake, Martin; et al.
2013-01-01
Background: To date, there have been a limited number of studies on the impact of government-incentivised farm animal welfare programmes or ‘schemes’, and on farmers’ attitudes regarding such schemes. In this study, focus groups were used to gain insight into Irish farmers’ perceptions of such a scheme for suckler cattle and its behavioural impacts on farmers. Results: The findings were categorised into 46 codes and ultimately yielded two Global themes: 1) Beliefs and Evidence and 2) Logic an...
Heyman, Gail D.; Luu, Diem H.; Lee, Kang
2009-01-01
The present set of studies identifies the phenomenon of `parenting by lying', in which parents lie to their children as a means of influencing their emotional states and behaviour. In Study 1, undergraduates (n = 127) reported that their parents had lied to them while maintaining a concurrent emphasis on the importance of honesty. In Study 2 (n = 127), parents reported lying to their children and considered doing so to be acceptable under some circumstances, even though they also reported tea...
Group management of young dairy cattle in relation to animal behaviour and welfare
Raussi, Satu
2005-01-01
This work consists of two collaborative research projects between INRA (France) and MTT (Finland) that examine the influence of group management on young cattle. The first work investigated whether pair versus individual housing of calves reduces their chronic stress reactions and whether positive contacts with humans could partly compensate for a lack of contact with conspecifics. In the second work, pair-housed heifers were either repeatedly regrouped or kept with their familiar peer. The c...
Jacobson, Nathan
1979-01-01
Lie group theory, developed by M. Sophus Lie in the 19th century, ranks among the more important developments in modern mathematics. Lie algebras comprise a significant part of Lie group theory and are being actively studied today. This book, by Professor Nathan Jacobson of Yale, is the definitive treatment of the subject and can be used as a textbook for graduate courses.Chapter I introduces basic concepts that are necessary for an understanding of structure theory, while the following three chapters present the theory itself: solvable and nilpotent Lie algebras, Carlan's criterion and its
Directory of Open Access Journals (Sweden)
S. Dartosukarno
2012-03-01
Full Text Available Eight bulls of Ongole Crossbred (OC cattle with initial body weight (BW of 297 + 26 kg (CV = 8.75% fed rice straw treated with urine (RU (ad libitum were divided into two groups (each four heads to determine the effect of concentrate feeding level on efficiency of eating behavior. The cattle was given concentrate feeding composed of beer cake and rice bran to make 14% crude protein at 1% and at 2% BW for RUC1 and RUC2 group, respectively. Eating behavior was measured for 3x24 hours and was performed twice at weeks 2 and 6 of the study. Data obtained were analyzed by t-test. The results showed that the level of concentrate feeding affected the intake of urinated rice straw (P0.05 on DMI, length time for eating (196.5 vs. 221.5 min/d, length time for rumination (351.0 vs. 449.4 min/d, efficiency of eating time (37.21 vs. 37.67 gDM/min and efficiency rumination time (21.43 vs. 18.50 gDM/min. This research showed that concentrate feeding at 2% BW did not alter the efficiency of eating time and rumination compared to 1% BW, although able to improve BWG of OC cattle.
Papi, Paolo; Advances in Lie Superalgebras
2014-01-01
The volume is the outcome of the conference "Lie superalgebras," which was held at the Istituto Nazionale di Alta Matematica, in 2012. The conference gathered many specialists in the subject, and the talks held provided comprehensive insights into the newest trends in research on Lie superalgebras (and related topics like vertex algebras, representation theory and supergeometry). The book contains contributions of many leading esperts in the field and provides a complete account of the newest trends in research on Lie Superalgebras.
Directory of Open Access Journals (Sweden)
S. Dartosukarno
2014-10-01
Full Text Available Eight bulls of Ongole Crossbred (OC cattle with initial body weight (BW of 297 + 26 kg (CV =8.75% fed rice straw treated with urine (RU (ad libitum were divided into two groups (each fourheads to determine the effect of concentrate feeding level on efficiency of eating behavior. The cattlewas given concentrate feeding composed of beer cake and rice bran to make 14% crude protein at 1%and at 2% BW for RUC1 and RUC2 group, respectively. Eating behavior was measured for 3x24 hoursand was performed twice at weeks 2 and 6 of the study. Data obtained were analyzed by t-test. Theresults showed that the level of concentrate feeding affected the intake of urinated rice straw (P<0.01and daily BWGain (P<0.05, but the effect was not found (P>0.05 on DMI, length time for eating(196.5 vs. 221.5 min/d, length time for rumination (351.0 vs. 449.4 min/d, efficiency of eating time(37.21 vs. 37.67 gDM/min and efficiency rumination time (21.43 vs. 18.50 gDM/min. This researchshowed that concentrate feeding at 2% BW did not alter the efficiency of eating time and ruminationcompared to 1% BW, although able to improve BWG of OC cattle.
Institute of Scientific and Technical Information of China (English)
许文龙
2000-01-01
Lillian Carter, the President s mother, once set up an interview with an aggressive reporter without benefitfrom the press office. "Your son," the reporter said, "has been travelling the country, telling people not to vote for him if he everlies to them. Can you, knowing a son as only a mother can, honestly say he s never lied?" "Well, perhaps a little white lie now and then," Mrs. Carter replied. "And what," retorted the reporter, "is the difference between a white lie and any other? Define a whi...
The effects of feed area design on the social behaviour of dairy cattle
Rioja-Lang, Fiona C
2009-01-01
The overall objective of this thesis was to assess the effect of feed area design including feeding space availability, barrier type and stocking density, on the feeding behaviour of dairy cows. Feed intake in dairy cows is directly related to milk production, thus a good food supply is extremely important to the modern, high producing dairy cow. Intake is critical for improving milk production, health, body condition and the welfare of the animals. Feeding designs can have a major effect on ...
The ecological behaviour of 55Fe in plants and in the flesh of cattle and game
International Nuclear Information System (INIS)
98 samples of shrub lichens taken between 1965 and 1970, including 69 from the Federal Republic of Germany and 15 from Finland, mainly of the genus Cladonia, particularly the species Cladonia rangiferina and Cladonia silvatica, 5 samples of moss, 2 of heather and 4 of hay, and also meat samples taken from 12 Bavarian cattle slaughtered in the spring of 1970, 7 stags killed in the Eastern Carpathians in the autumn of 1969 and one chamois shot in the Lower Tauern mountains in the autumn of 1970, were all analysed for their contents of 55Fe and stable Fe. The lichens contained between 0.7 - in 1970 - and a maximum of 139.0 nCi 55Fe/kg dry matter - in 1965, or between 0.09 and 6.9 nCi/g ash. Their stable Fe contents varied between 0.234 and 1.990 mg/g dry matter or between 16.3 and 59.7 mg/Fe/g ash. Specific 55Fe activities of between 231 pCi 55Fe/mg Fe (1964) and 1.6 pCi 55Fe/mg Fe (1970) can be calculated from these values. There were no obvious differences between the 55Fe contamination of lichens of different species. This was also true of their contents of stable Fe. Cladonia furcata had the highest contents of 55Fe and stable Fe, both relatively and absolutely. From 1965 onwards the 55Fe-activities in the lichens examined declined in line with the drop in 55Fe in the fall-out. (orig./AJ.)
Seron, X
2014-10-01
The issue of lying occurs in neuropsychology especially when examinations are conducted in a forensic context. When a subject intentionally either presents non-existent deficits or exaggerates their severity to obtain financial or material compensation, this behaviour is termed malingering. Malingering is discussed in the general framework of lying in psychology, and the different procedures used by neuropsychologists to evidence a lack of collaboration at examination are briefly presented and discussed. When a lack of collaboration is observed, specific emphasis is placed on the difficulty in unambiguously establishing that this results from the patient's voluntary decision. PMID:25306079
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L. Ravarotto
2011-03-01
Full Text Available There is no regulation in force concerning the welfare of beef cattle in Europe likely because of the large differences existing among the fattening systems adopted by different countries. The fattening system mainly adopted in Italy must be consider intensive due to the high cattle stocking rate and the indoor housing with lack of pasture. In these rearing conditions the main factors affecting beef cattle welfare are the space allowance, the number of animals/pen, the type of floor, and the space at the manger (EU-SCAHAW, 2001...
Lie groups and Lie algebras for physicists
Das, Ashok
2015-01-01
The book is intended for graduate students of theoretical physics (with a background in quantum mechanics) as well as researchers interested in applications of Lie group theory and Lie algebras in physics. The emphasis is on the inter-relations of representation theories of Lie groups and the corresponding Lie algebras.
Eliminative behaviour of dairy cows at pasture
DEFF Research Database (Denmark)
Whistance, Lindsay Kay; Sinclair, Liam A.; Arney, David Richard;
2011-01-01
Despite a strong avoidance of grazing near dung patches, cattle have traditionally been considered not to avoid bodily contact with faeces, regardless of any risk of disease. Little is understood of the behaviour of pasture-kept dairy cows at the time of defaecation and therefore, the eliminative...... behaviour of 40 Holstein-Friesian cows was observed at pasture for6 heach day between morning and afternoon milking for a total of24 h. Lying (l), standing (s) and walking (w) behaviours were recorded pre, during and post-elimination. Sequences of 3–6 changes in these behaviours were recorded if expressed...... observed events (uppercase letters denote behaviour during defaecation). In all recorded events, 383 stood and 54 walked whilst defaecating (P
Solvable quadratic Lie algebras
Institute of Scientific and Technical Information of China (English)
无
2006-01-01
A Lie algebra endowed with a nondegenerate, symmetric, invariant bilinear form is called a quadratic Lie algebra. In this paper, the author investigates the structure of solvable quadratic Lie algebras, in particular, the solvable quadratic Lie algebras whose Cartan subalgebras consist of semi-simple elements, the author presents a procedure to construct a class of quadratic Lie algebras from the point of view of cohomology and shows that all solvable quadratic Lie algebras can be obtained in this way.
Stochastic Lie group integrators
Malham, Simon J A
2007-01-01
We present Lie group integrators for nonlinear stochastic differential equations with non-commutative vector fields whose solution evolves on a smooth finite dimensional manifold. Given a Lie group action that generates transport along the manifold, we pull back the stochastic flow on the manifold to the Lie group via the action, and subsequently pull back the flow to the corresponding Lie algebra via the exponential map. We construct an approximation to the stochastic flow in the Lie algebra via closed operations and then push back to the Lie group and then to the manifold, thus ensuring our approximation lies in the manifold. We call such schemes stochastic Munthe-Kaas methods after their deterministic counterparts. We also present stochastic Lie group integration schemes based on Castell--Gaines methods. These involve using an underlying ordinary differential integrator to approximate the flow generated by a truncated stochastic exponential Lie series. They become stochastic Lie group integrator schemes if...
International Nuclear Information System (INIS)
After creating a keratitis photoelectrica by means of a mercury/quartz analysis lamp, the concentration of GSH (glutathion, reduced) and GSSG (glutathion, oxidised) in the cornea epithelium of cattle and of rabbits at different times after irradiation was determined. The question of whether ultraviolet radiation considerably influences the GSH/GSSG quotient before the keratitis photoelectrica is fully formed morphologically, could be answered as follows: There is no considerable change in the GSH/GSSG quotient during the first 7-10 hours after the irradiation. Then, when there is, also morphologically, a keratitis photoelectrica, the GSH/GSSG quotient is doubled. The linkage of the GSH/GSSG system and hexosephosphatshunt via the NADP/NADPH system leads us to the conclusion that irradiation does not cause any direct changes in the GSH/GSSG system. Only when the cornea epithelium visably disintegrates an increased reduction of the glutathion occurs, like in several other damaging influences. Thus the found increase of the GSH/GSSG quotient 7-10 hours after ultraviolet irradiation might be unspecific. (orig./AJ)
Breathing difficulty - lying down
... short of breath; Paroxysmal nocturnal dyspnea; PND; Difficulty breathing while lying down; Orthopnea ... Heart failure Obesity (does not directly cause difficulty breathing while lying down but often worsens other conditions ...
Goze, Michel; Remm, Elisabeth
2006-01-01
A current Lie algebra is contructed from a tensor product of a Lie algebra and a commutative associative algebra of dimension greater than 2. In this work we are interested in deformations of such algebras and in the problem of rigidity. In particular we prove that a current Lie algebra is rigid if it is isomorphic to a direct product gxg...xg where g is a rigid Lie algebra.
Directory of Open Access Journals (Sweden)
Alexandre Menezes Dias
2011-08-01
Full Text Available The objective of this work was to evaluate, in bovines, the intake and apparent digestibility of nutrients, ingestive behaviour and content of total digestible nutrients (TDN of diets based on sugar cane treated with calcium hydroxide. It was used four cows with average body weight of 412.06 kg ± 37.3 kg. The study included inclusion of calcium hydroxide at the doses 0, 8, 16 and 24 g/kg of sugar cane in natural matter basis fed in diets with 65% of roughage and 35% on concentrate, based on dry matter (DM. It was used a 4 × 4 Latin square experimental design with four treatments and four periods. Calcium hydroxide doses affected nutrient intake: DM intake was 7.88 kg/day at the dose of 14.99 g of calcium hydroxide, organic matter (OM intake was 6.75 kg/day at 10.94 g; intake of neutral detergent fiber (NDF of 3.33 kg/day with a dose of 13.93 g; and intake of acid detergent fiber (ADF of 2.12 kg/day with a dose of 10.51 g. Digestibility coefficients showed a quadratic effect for doses of inclusion of calcium hydroxide. Dry matter digestibility was 72.88% with a dose of 11.65 g of calcium hydroxide, OM digestibility was 75.12% with 12.09 g; NDF digestibility was 58.67% with 12.11 g; ADF digestibility was 52.97% with 9.36 g and TDN digestibility was 71.42% with 10.92 g. There was no effect of the treatment for activities of rumination and total idle. Chewing time, number of bolus chewed and time for rumination of each bolli presented effect. Calcium hydroxide enabled greater intakes and digestibility of nutrients, especially from the cell wall, favoring the use of nutrients from the diet containing sugar cane, recommending a dose of 8-12 g.
Directory of Open Access Journals (Sweden)
Paula Hocayen de Paula
2002-08-01
Full Text Available A dinâmica de queda de fêmeas ingurgitadas do carrapato Boophilus microplus foi avaliada na Estação Experimental da Embrapa Gado de Leite, em Coronel Pacheco- MG, Brasil. O objetivo foi avaliar as vantagens da modificação do horário de ordenha dos bovinos, considerando a higienização do pasto, em relação ao carrapato. O experimento constou de uma fase de verão/outono e uma de inverno, para testar diferenças no ritmo de queda dos carrapatos entre as duas estações. Os resultados mostraram diferenças significativas entre as fases. No verão/outono, as fêmeas ingurgitadas apresentaram maior porcentagem de queda entre 7 e 10 horas (35,3% e no inverno entre 6 e 9 horas (19,69% e entre 14 e 17 horas (21,79%. A porcentagem de queda de fêmeas ingurgitadas no período foi de 35,15% para o sistema de ordenha de 5-8h e 13-16h e de 45,48% para o sistema de ordenha de 8-11h e 16-19h, durante os meses de verão/outono. Nos meses de inverno, o porcentual de queda foi de 40,51% e de 32,71% para os dois horários de ordenha respectivamente. Considerando o tempo que os animais permanecem estabulados para a suplementação no cocho durante o período entre as ordenhas na época seca do ano na região (maio a setembro, a porcentagem de queda de fêmeas ingurgitadas foi de 55,83% para o sistema de ordenha de 5 a 16h e de 52,36% para o sistema de ordenha de 8 a 19h.A description of the drop-off behaviour of engorged females of the tick Boophilus microplus was carried out as a result of an experiment at the Experimental Station, Embrapa Gado de Leite, Coronel Pacheco, MG, Brazil. Its objective was to evaluate any repercussions of changing the time of milking of cattle in terms of reduced recontamination of the pastures with the tick. Such possible changes in this daily cattle management routine have recently become a reality since the advent of refrigerated on-farm storage of the milk and non-daily collection by tanker truck. The field experiment
Bakhurst, D
1992-01-01
This article challenges Jennifer Jackson's recent defence of doctors' rights to deceive patients. Jackson maintains there is a general moral difference between lying and intentional deception: while doctors have a prima facie duty not to lie, there is no such obligation to avoid deception. This paper argues 1) that an examination of cases shows that lying and deception are often morally equivalent, and 2) that Jackson's position is premised on a species of moral functionalism that misconstrue...
Crainic, M.; Fernandes, R.L.
2001-01-01
In this paper we present the solution to a longstanding problem of dierential geometry Lies third theorem for Lie algebroids We show that the integrability problem is controlled by two computable obstructions As applications we derive explain and improve the known integrability results we establish integrability by local Lie groupoids we clarify the smoothness of the Poisson sigmamodel for Poisson manifolds and we describe other geometrical applications Our approach also puts into a new persp...
Osborn, J
1989-01-01
During the academic year 1987-1988 the University of Wisconsin in Madison hosted a Special Year of Lie Algebras. A Workshop on Lie Algebras, of which these are the proceedings, inaugurated the special year. The principal focus of the year and of the workshop was the long-standing problem of classifying the simple finite-dimensional Lie algebras over algebraically closed field of prime characteristic. However, other lectures at the workshop dealt with the related areas of algebraic groups, representation theory, and Kac-Moody Lie algebras. Fourteen papers were presented and nine of these (eight research articles and one expository article) make up this volume.
International Nuclear Information System (INIS)
We construct a special type of quantum soliton solutions for quantized affine Toda models. The elements of the principal Heisenberg subalgebra in the affinised quantum Lie algebra are found. Their eigenoperators inside the quantized universal enveloping algebra for an affine Lie algebra are constructed to generate quantum soliton solutions
B. Verschuere; A. Spruyt; E.H. Meijer; H. Otgaar
2011-01-01
Brain imaging studies suggest that truth telling constitutes the default of the human brain and that lying involves intentional suppression of the predominant truth response. By manipulating the truth proportion in the Sheffield lie test, we investigated whether the dominance of the truth response i
Medicine, lies and deceptions.
Benn, P
2001-04-01
This article offers a qualified defence of the view that there is a moral difference between telling lies to one's patients, and deceiving them without lying. However, I take issue with certain arguments offered by Jennifer Jackson in support of the same conclusion. In particular, I challenge her claim that to deny that there is such a moral difference makes sense only within a utilitarian framework, and I cast doubt on the aptness of some of her examples of non-lying deception. But I argue that lies have a greater tendency to damage trust than does non-lying deception, and suggest that since many doctors do believe there is a moral boundary between the two types of deception, encouraging them to violate that boundary may have adverse general effects on their moral sensibilities. PMID:11314158
Armstrong-Taylor Paul
2012-01-01
When do politicians lie? A politician who admits to wrongdoing will likely suffer some loss of popularity, but probably not as great as if he denied wrong doing and was subsequently discovered to have lied. This simple observation has a number of implications. For example, a politician in a marginal seat may have little choice but to risk lying as admitting will lose him too much popularity to survive. On the other hand, a politician in a relatively safe seat might survive the loss from admit...
International Nuclear Information System (INIS)
We calculate the cohomology of the BRS operator s modulo an auxiliary differential operator t where both operators act on invariant polynomials in anticommuting variables Ci and commuting variables Xi. Ci and Xi transform according to the adjoint representation of the Lie algebra of a compact Lie group. The cohomology classes of s modulo t are related to the solutions of the consistency equations which have to be satisfied by anomalies of Yang-Mills theories. The present investigation completes the proof of the completeness and nontriviality of these solutions and, as a by-product, determines the cohomology of the underlying Lie algebra. (orig.)
carfí, David
2011-01-01
In this paper we see the evolution of a capitalized financial event e, with respect to a capitalization factor f, as the exponential map of a suitably defined Lie group G(f,e), supported by the half-space of capitalized financial events having the same capital sign of e. The Lie group G(f,e) depends upon the capitalization factor f and on the event e itself. After the extension of the definition of exponential map of a Lie group, we shall eliminate the dependence on the financial event e, recognizing the presence of essentially one unique financial Lie semigroup, supported by the entire space of capitalized financial events, determined by the capitalization factor f.
Bakhurst, D
1992-06-01
This article challenges Jennifer Jackson's recent defence of doctors' rights to deceive patients. Jackson maintains there is a general moral difference between lying and intentional deception: while doctors have a prima facie duty not to lie, there is no such obligation to avoid deception. This paper argues 1) that an examination of cases shows that lying and deception are often morally equivalent, and 2) that Jackson's position is premised on a species of moral functionalism that misconstrues the nature of moral obligation. Against Jackson, it is argued that both lying and intentional deception are wrong where they infringe a patient's right to autonomy or his/her right to be treated with dignity. These rights represent 'deontological constraints' on action, defining what we must not do whatever the functional value of the consequences. Medical ethics must recognise such constraints if it is to contribute to the moral integrity of medical practice. PMID:1619626
Additive Lie (ζ-Lie) Derivations and Generalized Lie (ζ-Lie)Derivations on Prime Algebras
Institute of Scientific and Technical Information of China (English)
Xiao Fei QI; Jin Chuan HOU
2013-01-01
The additive (generalized) ζ-Lie derivations on prime algebras are characterized.It is shown,under some suitable assumptions,that an additive map L is an additive generalized Lie derivation if and only if it is the sum of an additive generalized derivation and an additive map from the algebra into its center vanishing all commutators; is an additive (generalized) ζ-Lie derivation with ζ ≠ 1 if and only if it is an additive (generalized) derivation satisfying L(ζA) =ζL(A) for all A.These results are then used to characterize additive (generalized) ζ-Lie derivations on several operator algebras such as Banach space standard operator algebras and von Neumman algebras.
Iachello, Francesco
2015-01-01
This course-based primer provides an introduction to Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons. In the first part, it concisely presents the basic concepts of Lie algebras, their representations and their invariants. The second part includes a description of how Lie algebras are used in practice in the treatment of bosonic and fermionic systems. Physical applications considered include rotations and vibrations of molecules (vibron model), collective modes in nuclei (interacting boson model), the atomic shell model, the nuclear shell model, and the quark model of hadrons. One of the key concepts in the application of Lie algebraic methods in physics, that of spectrum generating algebras and their associated dynamic symmetries, is also discussed. The book highlights a number of examples that help to illustrate the abstract algebraic definitions and includes a summary of many formulas of practical interest, such as the eigenvalues of Casimir operators...
Brahic, O
2010-01-01
A degree 1 non-negative graded super manifold equipped with a degree 1 vector field $Q$ satisfying $[Q, Q]=1$, namely a so-called NQ-1 manifold is, in plain differential geometry language, a Lie algebroid. We introduce a notion of fibration for such super manifols, that essentially involves a complete Ehresmann connection. As it is the case for Lie algebras, such fibrations turn out not to be just locally trivial products. We also define homotopy groups and prove the expected long exact sequence associated to a fibration. In particular, Crainic and Fernandes's obstruction to the integrability of Lie algebroids is interpreted as the image of a transgression map in this long exact sequence.
Energy Technology Data Exchange (ETDEWEB)
Ritter, Patricia [Centro de Estudios Científicos (CECs),Avenida Arturo Prat 514, Valdivia (Chile); Sämann, Christian [Maxwell Institute for Mathematical Sciences,Department of Mathematics, Heriot-Watt University,Colin Maclaurin Building, Riccarton, Edinburgh EH14 4AS (United Kingdom)
2014-04-09
In this paper, we begin the study of zero-dimensional field theories with fields taking values in a semistrict Lie 2-algebra. These theories contain the IKKT matrix model and various M-brane related models as special cases. They feature solutions that can be interpreted as quantized 2-plectic manifolds. In particular, we find solutions corresponding to quantizations of ℝ{sup 3}, S{sup 3} and a five-dimensional Hpp-wave. Moreover, by expanding a certain class of Lie 2-algebra models around the solution corresponding to quantized ℝ{sup 3}, we obtain higher BF-theory on this quantized space.
International Nuclear Information System (INIS)
In this paper, we begin the study of zero-dimensional field theories with fields taking values in a semistrict Lie 2-algebra. These theories contain the IKKT matrix model and various M-brane related models as special cases. They feature solutions that can be interpreted as quantized 2-plectic manifolds. In particular, we find solutions corresponding to quantizations of ℝ3, S3 and a five-dimensional Hpp-wave. Moreover, by expanding a certain class of Lie 2-algebra models around the solution corresponding to quantized ℝ3, we obtain higher BF-theory on this quantized space
Shchypachova, D. S.
2015-01-01
The article discusses the range of problems associated with the study of the linguistic side of communicative phenomenon of lying, which, being not only the socio-psychological component of human life in society, but also a kind of code of any communication, in recent years has increasingly turned the focus of research interest in different fields – philosophy, sociology, psychology, law and linguistics. False statements are presented as a component of a refusal system to a partner of the com...
Group discussion improves lie detection
Klein, Nadav; Epley, Nicholas
2015-01-01
Detecting lies is difficult. Accuracy rates in experiments are only slightly greater than chance, even among trained professionals. Costly programs aimed at training individual lie detectors have mostly been ineffective. Here we test a different strategy: asking individuals to detect lies as a group. We find a consistent group advantage for detecting small “white” lies as well as intentional high-stakes lies. This group advantage does not come through the statistical aggregation of individual...
Lie groups, lie algebras, and representations an elementary introduction
Hall, Brian
2015-01-01
This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject. In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including: a treatment of the Baker–Campbell–Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C) an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras a self-contained construction of the representations of compac...
Lipkin, Harry J
2002-01-01
According to the author of this concise, high-level study, physicists often shy away from group theory, perhaps because they are unsure which parts of the subject belong to the physicist and which belong to the mathematician. However, it is possible for physicists to understand and use many techniques which have a group theoretical basis without necessarily understanding all of group theory. This book is designed to familiarize physicists with those techniques. Specifically, the author aims to show how the well-known methods of angular momentum algebra can be extended to treat other Lie group
Bond, Charles F; Uysal, Ahmet
2007-02-01
M. O'Sullivan and P. Ekman (2004) claim to have discovered 29 wizards of deception detection. The present commentary offers a statistical critique of the evidence for this claim. Analyses reveal that chance can explain results that the authors attribute to wizardry. Thus, by the usual statistical logic of psychological research, O'Sullivan and Ekman's claims about wizardry are gratuitous. Even so, there may be individuals whose wizardry remains to be uncovered. Thus, the commentary outlines forms of evidence that are (and are not) capable of diagnosing lie detection wizardry. PMID:17221309
[Diagnostic imaging of lying].
Lass, Piotr; Sławek, Jarosław; Sitek, Emilia; Szurowska, Edyta; Zimmermann, Agnieszka
2013-01-01
Functional diagnostic imaging has been applied in neuropsychology for more than two decades. Nowadays, the functional magnetic resonance (fMRI) seems to be the most important technique. Brain imaging in lying has been performed and discussed since 2001. There are postulates to use fMRI for forensic purposes, as well as commercially, e.g. testing the loyalty of employees, especially because of the limitations of traditional polygraph in some cases. In USA fMRI is performed in truthfulness/lying assessment by at least two commercial companies. Those applications are a matter of heated debate of practitioners, lawyers and specialists of ethics. The opponents of fMRI use for forensic purposes indicate the lack of common agreement on it and the lack of wide recognition and insufficient standardisation. Therefore it cannot serve as a forensic proof, yet. However, considering the development of MRI and a high failure rate of traditional polygraphy, forensic applications of MRI seem to be highly probable in future. PMID:23888745
Commutative post-Lie algebra structures on Lie algebras
Burde, Dietrich; Moens, Wolfgang Alexander
2015-01-01
We show that any CPA-structure (commutative post-Lie algebra structure) on a perfect Lie algebra is trivial. Furthermore we give a general decomposition of inner CPA-structures, and classify all CPA-structures on parabolic subalgebras of simple Lie algebras.
Omni-Lie Color Algebras and Lie Color 2-Algebras
Zhang, Tao
2013-01-01
Omni-Lie color algebras over an abelian group with a bicharacter are studied. The notions of 2-term color $L_{\\infty}$-algebras and Lie color 2-algebras are introduced. It is proved that there is a one-to-one correspondence between Lie color 2-algebras and 2-term color $L_{\\infty}$-algebras.
Kramer, Linus
2001-01-01
Using a characterization of parabolics in reductive Lie groups due to Furstenberg, elementary properties of buildings, and some algebraic topology, we give a new proof of Tits' classification of 2-transitive Lie groups.
Irreducible Lie-Yamaguti algebras
Benito, Pilar; Elduque, Alberto; Martín-Herce, Fabián
2008-01-01
Lie-Yamaguti algebras (or generalized Lie triple systems) are binary-ternary algebras intimately related to reductive homogeneous spaces. The Lie-Yamaguti algebras which are irreducible as modules over their Lie inner derivation algebra are the algebraic counterpart of the isotropy irreducible homogeneous spaces. These systems will be shown to split into three disjoint types: adjoint type, non-simple type and generic type. The systems of the first two types will be classified and most of them...
Ditmarsch, H. van; Eijck, D.J.N. van; Sietsma, F.A.G.; Eijck, D.J.N. van; Verbrugge, R.
2012-01-01
We model lying as a communicative act changing the beliefs of the agents in a multi-agent system. With Augustine, we see lying as an utterance believed to be false by the speaker and uttered with the intent to deceive the addressee. The deceit is successful if the lie is believed after the u
How People Really Detect Lies.
Park, Hee Sun; Levine, Timothy R.; McCornack, Steven A.; Morrison, Kelly; Ferrara, Merissa
2002-01-01
Considers that participants in previous deception detection experiments may not have had access to the types of information people most often use to detect real-life lies. Suggests that people most often rely on information from third parties and physical evidence when detecting lies, and that the detection of a lie is a process that takes days,…
Quantization on nilpotent Lie groups
Fischer, Veronique
2016-01-01
This book presents a consistent development of the Kohn-Nirenberg type global quantization theory in the setting of graded nilpotent Lie groups in terms of their representations. It contains a detailed exposition of related background topics on homogeneous Lie groups, nilpotent Lie groups, and the analysis of Rockland operators on graded Lie groups together with their associated Sobolev spaces. For the specific example of the Heisenberg group the theory is illustrated in detail. In addition, the book features a brief account of the corresponding quantization theory in the setting of compact Lie groups. The monograph is the winner of the 2014 Ferran Sunyer i Balaguer Prize.
Lie Subalgebras in a Certain Operator Lie Algebra with Involution
Institute of Scientific and Technical Information of China (English)
Shan Li SUN; Xue Feng MA
2011-01-01
We show in a certain Lie'-algebra,the connections between the Lie subalgebra G+:＝G+G*+[G,G*],generated by a Lie subalgebra G,and the properties of G.This allows us to investigate some useful information about the structure of such two Lie subalgebras.Some results on the relations between the two Lie subalgebras are obtained.As an application,we get the following conclusion:Let A (∪) B(X)be a space of self-adjoint operators and L:＝A ⊕ iA the corresponding complex Lie*-algebra.G+＝G+G*+[G,G*]and G are two LM-decomposable Lie subalgebras of,L with the decomposition G+＝R(G+)+S,G＝RG+SG,and RG (∪) R(C+).Then G+ is ideally finite iff RG+:＝RG+RG*+[RG,RG*]is a quasisolvable Lie subalgebra,SG+:＝SG+SG*+[SG,SG*]is an ideally finite semisimple Lie subalgebra,and [RG,SG]＝[RG*,SG]＝{0}.
Lie algebras and Lie groups over noncommutative rings
Berenstein, Arkady; Retakh, Vladimir
2007-01-01
The aim of this paper is to introduce and study Lie algebras and Lie groups over noncommutative rings. For any Lie algebra $\\gg$ sitting inside an associative algebra $A$ and any associative algebra $\\FF$ we introduce and study the algebra $(\\gg,A)(\\FF)$, which is the Lie subalgebra of $\\FF \\otimes A$ generated by $\\FF \\otimes \\gg$. In many examples $A$ is the universal enveloping algebra of $\\gg$. Our description of the algebra $(\\gg,A)(\\FF)$ has a striking resemblance to the commutator expa...
Skid resistance and durability of coated and uncoated concrete floors in dairy cattle buildings
Georg, Heiko
2011-01-01
Passageways in cattle buildings should provide durable and non-slippery surface to allow cattle an unrestrained locomotion and expression of behaviour. In order to evaluate walking areas fo cattle buildings and their grip or skid resistance, measures with Skid Resistance Tester to obtain SRT-values were performed on sevreal dairy farms in Germany.
The Welfare of Cattle kept for Beef Production
Scientific Committee on Animal Health and Animal Welfare,
2001-01-01
Content: 1) Introduction 2) State of the Industry 3) Hosing Systems 4) Behaviour of Cattle 5)Effect of Housing on the Welfare of the Animals 6) the effects of Management on Cattle Welfare 7)Futere Research Needed 8) Conclusions 9) Recommodations 10) References 11) Acknowledgements
Ditmarsch, van, H.; Sietsma, Floor; Eijck, van, MW Michiel; Verbrugge, R.
2012-01-01
We model lying as a communicative act changing the beliefs of the agents in a multi-agent system. With Augustine, we see lying as an utterance believed to be false by the speaker and uttered with the intent to deceive the addressee. The deceit is successful if the lie is believed after the utterance by the addressee. This is our perspective. Also, as common in dynamic epistemic logics, we model the agents addressed by the lie, but we do not (necessarily) model the speaker as one of those agen...
Bosonization and Lie Group Structure
Ha, Yuan K
2015-01-01
We introduce a concise quantum operator formula for bosonization in which the Lie group structure appears in a natural way. The connection between fermions and bosons is found to be exactly the connection between Lie group elements and the group parameters. Bosonization is an extraordinary way of expressing the equation of motion of a complex fermion field in terms of a real scalar boson in two dimensions. All the properties of the fermion field theory are known to be preserved under this remarkable transformation with substantial simplification and elucidation of the original theory, much like Lie groups can be studied by their Lie algebras.
Van Hertem, T; Bahr, C; Schlageter Tello, A; Viazzi, S; Steensels, M; Romanini, C E B; Lokhorst, C; Maltz, E; Halachmi, I; Berckmans, D
2016-09-01
The objective of this study was to evaluate if a multi-sensor system (milk, activity, body posture) was a better classifier for lameness than the single-sensor-based detection models. Between September 2013 and August 2014, 3629 cow observations were collected on a commercial dairy farm in Belgium. Human locomotion scoring was used as reference for the model development and evaluation. Cow behaviour and performance was measured with existing sensors that were already present at the farm. A prototype of three-dimensional-based video recording system was used to quantify automatically the back posture of a cow. For the single predictor comparisons, a receiver operating characteristics curve was made. For the multivariate detection models, logistic regression and generalized linear mixed models (GLMM) were developed. The best lameness classification model was obtained by the multi-sensor analysis (area under the receiver operating characteristics curve (AUC)=0.757±0.029), containing a combination of milk and milking variables, activity and gait and posture variables from videos. Second, the multivariate video-based system (AUC=0.732±0.011) performed better than the multivariate milk sensors (AUC=0.604±0.026) and the multivariate behaviour sensors (AUC=0.633±0.018). The video-based system performed better than the combined behaviour and performance-based detection model (AUC=0.669±0.028), indicating that it is worthwhile to consider a video-based lameness detection system, regardless the presence of other existing sensors in the farm. The results suggest that Θ2, the feature variable for the back curvature around the hip joints, with an AUC of 0.719 is the best single predictor variable for lameness detection based on locomotion scoring. In general, this study showed that the video-based back posture monitoring system is outperforming the behaviour and performance sensing techniques for locomotion scoring-based lameness detection. A GLMM with seven specific
Are We Modular Lying Cues Detectors? The Answer Is "Yes, Sometimes".
Directory of Open Access Journals (Sweden)
Mathieu Arminjon
Full Text Available We quickly form first impressions about newly encountered people guiding our subsequent behaviour (approach, avoidance. Such instant judgments might be innate and automatic, being performed unconsciously and independently to other cognitive processes. Lying detection might be subject to such a modular process. Unfortunately, numerous studies highlighted problems with lying detection paradigms such as high error rates and learning effects. Additionally, humans should be motivated doing both detecting others' lies and disguising own lies. Disguising own lies might even be more challenging than detecting other people's lies. Thus, when trying to disguise cheating behaviour, liars might display a mixture of disguising (fake trust cues and uncontrolled lying cues making the interpretation of the expression difficult (perceivers are guessing. In two consecutive online studies, we tested whether seeing an increasing amount (range 0-4 of lying cues (LC and non-lying cues (NLC on a standard face results in enhanced guessing behaviour (studies 1 and 2 and that enhanced guessing is accompanied by slower responding (study 2. Results showed that pronounced guessing and slowest responding occurred for faces with an intermediate number and not with the highest number of LC and NLC. In particular, LC were more important than NLC to uncertain lying decisions. Thus, only a few LC may interfere with automatic processing of lying detection (irrespective of NLC, probably because too little lying cue information is yet available.
Lie Symmetries of Ishimori Equation
Institute of Scientific and Technical Information of China (English)
SONG Xu-Xia
2013-01-01
The Ishimori equation is one of the most important (2+1)-dimensional integrable models,which is an integrable generalization of (1+1)-dimensional classical continuous Heisenberg ferromagnetic spin equations.Based on importance of Lie symmetries in analysis of differential equations,in this paper,we derive Lie symmetries for the Ishimori equation by Hirota's direct method.
Equivariant cohomology over Lie groupoids and Lie-Rinehart algebras
Huebschmann, Johannes
2009-01-01
Using the language and terminology of relative homological algebra, in particular that of derived functors, we introduce equivariant cohomology over a general Lie-Rinehart algebra and equivariant de Rham cohomology over a locally trivial Lie groupoid in terms of suitably defined monads (also known as triples) and the associated standard constructions. This extends a characterization of equivariant de Rham cohomology in terms of derived functors developed earlier for the special case where the Lie groupoid is an ordinary Lie group, viewed as a Lie groupoid with a single object; in that theory over a Lie group, the ordinary Bott-Dupont-Shulman-Stasheff complex arises as an a posteriori object. We prove that, given a locally trivial Lie groupoid G and a smooth G-manifold f over the space B of objects of G, the resulting G-equivariant de Rham theory of f boils down to the ordinary equivariant de Rham theory of a vertex manifold relative to the corresponding vertex group, for any vertex in the space B of objects o...
Lying despite telling the truth.
Wiegmann, Alex; Samland, Jana; Waldmann, Michael R
2016-05-01
According to the standard definition of lying an utterance counts as a lie if the agent believes the statement to be false. Thus, according to this view it is possible that a lie states something that happens to be true. This subjective view on lying has recently been challenged by Turri and Turri (2015) who presented empirical evidence suggesting that people only consider statements as lies that are objectively false (objective view). We argue that the presented evidence is in fact consistent with the standard subjective view if conversational pragmatics is taken into account. Three experiments are presented that directly test and support the subjective view. An additional experiment backs up our pragmatic hypothesis by using the uncontroversial case of making a promise. PMID:26848734
Group discussion improves lie detection.
Klein, Nadav; Epley, Nicholas
2015-06-16
Groups of individuals can sometimes make more accurate judgments than the average individual could make alone. We tested whether this group advantage extends to lie detection, an exceptionally challenging judgment with accuracy rates rarely exceeding chance. In four experiments, we find that groups are consistently more accurate than individuals in distinguishing truths from lies, an effect that comes primarily from an increased ability to correctly identify when a person is lying. These experiments demonstrate that the group advantage in lie detection comes through the process of group discussion, and is not a product of aggregating individual opinions (a "wisdom-of-crowds" effect) or of altering response biases (such as reducing the "truth bias"). Interventions to improve lie detection typically focus on improving individual judgment, a costly and generally ineffective endeavor. Our findings suggest a cheap and simple synergistic approach of enabling group discussion before rendering a judgment. PMID:26015581
Actions of Lie groups and Lie algebras on manifolds
Hirsch, Morris W
2012-01-01
Questions of the following sort are addressed: Does a given Lie group or Lie algebra act effectively on a given manifold? How smooth can such actions be? What fxed-point sets are possible? What happens under perturbations? Old results are summarized, and new ones presented, including: For every integer n there are solvable (in some cases, nilpotent) Lie algebras g that have effective C-infinity actions on all n-manifolds, but on some (in many cases, all) n-manifolds, g does not have effective analytic actions
Lie groups, Lie algebras, and some of their applications
Gilmore, Robert
1974-01-01
Lie group theory plays an increasingly important role in modern physical theories. Many of its calculations remain fundamentally unchanged from one field of physics to another, altering only in terms of symbols and the language. Using the theory of Lie groups as a unifying vehicle, concepts and results from several fields of physics can be expressed in an extremely economical way. With rigor and clarity, this text introduces upper-level undergraduate students to Lie group theory and its physical applications.An opening discussion of introductory concepts leads to explorations of the classical
Electrical networks and Lie theory
Lam, Thomas
2011-01-01
We introduce a new class of "electrical" Lie groups. These Lie groups, or more precisely their nonnegative parts, act on the space of planar electrical networks via combinatorial operations previously studied by Curtis-Ingerman-Morrow. The corresponding electrical Lie algebras are obtained by deforming the Serre relations of a semisimple Lie algebra in a way suggested by the star-triangle transformation of electrical networks. Rather surprisingly, we show that the type A electrical Lie group is isomorphic to the symplectic group. The nonnegative part (EL_{2n})_{\\geq 0} of the electrical Lie group is a rather precise analogue of the totally nonnegative subsemigroup (U_{n})_{\\geq 0} of the unipotent subgroup of SL_{n}. We establish decomposition and parametrization results for (EL_{2n})_{\\geq 0}, paralleling Lusztig's work in total nonnegativity, and work of Curtis-Ingerman-Morrow and de Verdi\\`{e}re-Gitler-Vertigan for networks. Finally, we suggest a generalization of electrical Lie algebras to all Dynkin type...
Last Multipliers on Lie Algebroids
Indian Academy of Sciences (India)
Mircea Crasmareanu; Cristina-Elena Hreţcanu
2009-06-01
In this paper we extend the theory of last multipliers as solutions of the Liouville’s transport equation to Lie algebroids with their top exterior power as trivial line bundle (previously developed for vector fields and multivectors). We define the notion of exact section and the Liouville equation on Lie algebroids. The aim of the present work is to develop the theory of this extension from the tangent bundle algebroid to a general Lie algebroid (e.g. the set of sections with a prescribed last multiplier is still a Gerstenhaber subalgebra). We present some characterizations of this extension in terms of Witten and Marsden differentials.
Historical Techniques of Lie Detection.
Vicianova, Martina
2015-08-01
Since time immemorial, lying has been a part of everyday life. For this reason, it has become a subject of interest in several disciplines, including psychology. The purpose of this article is to provide a general overview of the literature and thinking to date about the evolution of lie detection techniques. The first part explores ancient methods recorded circa 1000 B.C. (e.g., God's judgment in Europe). The second part describes technical methods based on sciences such as phrenology, polygraph and graphology. This is followed by an outline of more modern-day approaches such as FACS (Facial Action Coding System), functional MRI, and Brain Fingerprinting. Finally, after the familiarization with the historical development of techniques for lie detection, we discuss the scope for new initiatives not only in the area of designing new methods, but also for the research into lie detection itself, such as its motives and regulatory issues related to deception. PMID:27247675
Historical Techniques of Lie Detection
Directory of Open Access Journals (Sweden)
Martina Vicianova
2015-08-01
Full Text Available Since time immemorial, lying has been a part of everyday life. For this reason, it has become a subject of interest in several disciplines, including psychology. The purpose of this article is to provide a general overview of the literature and thinking to date about the evolution of lie detection techniques. The first part explores ancient methods recorded circa 1000 B.C. (e.g., God’s judgment in Europe. The second part describes technical methods based on sciences such as phrenology, polygraph and graphology. This is followed by an outline of more modern-day approaches such as FACS (Facial Action Coding System, functional MRI, and Brain Fingerprinting. Finally, after the familiarization with the historical development of techniques for lie detection, we discuss the scope for new initiatives not only in the area of designing new methods, but also for the research into lie detection itself, such as its motives and regulatory issues related to deception.
Ivancevic, Vladimir G.; Ivancevic, Tijana T.
2011-01-01
These lecture notes in Lie Groups are designed for a 1--semester third year or graduate course in mathematics, physics, engineering, chemistry or biology. This landmark theory of the 20th Century mathematics and physics gives a rigorous foundation to modern dynamics, as well as field and gauge theories in physics, engineering and biomechanics. We give both physical and medical examples of Lie groups. The only necessary background for comprehensive reading of these notes are advanced calculus ...
Structure of Solvable Quadratic Lie Algebras
Institute of Scientific and Technical Information of China (English)
ZHU Lin-sheng
2005-01-01
@@ Killing form plays a key role in the theory of semisimple Lie algebras. It is natural to extend the study to Lie algebras with a nondegenerate symmetric invariant bilinear form. Such a Lie algebra is generally called a quadratic Lie algebra which occur naturally in physics[10,12,13]. Besides semisimple Lie algebras, interesting quadratic Lie algebras include the Kac-Moody algebras and the Extended Affine Lie algebras.
Yoshii, Yoji
2015-01-01
We define general Lie tori which generalize original Lie tori. We show that a Naoi torus is a general Lie torus. We give examples and prove several properties of general Lie tori. We also review isotopies of Lie tori, and prove that a general Lie torus is, in fact, isotopic to an original Lie torus. Finally, we suggest a very simple way of defining a Lie torus corresponding to a locally extended affine root system R, which we call a Lie R-torus.
Indian Academy of Sciences (India)
Antonio J Calderón Martín
2009-04-01
We begin the study of arbitrary split Lie triple systems by focussing on those with a coherent 0-root space. We show that any such triple systems with a symmetric root system is of the form $T=\\mathcal{U}+\\sum_j I_j$ with $\\mathcal{U}$ a subspace of the 0-root space $T_0$ and any $I_j$ a well described ideal of , satisfying $[I_j,T,I_k]=0$ if $j≠ k$. Under certain conditions, it is shown that is the direct sum of the family of its minimal ideals, each one being a simple split Lie triple system, and the simplicity of is characterized. The key tool in this job is the notion of connection of roots in the framework of split Lie triple systems.
LIE SYMMETRIES AND NOETHER SYMMETRIES
Directory of Open Access Journals (Sweden)
PGL Leach
2012-10-01
Full Text Available We demonstrate that so-called nonnoetherian symmetries with which a known first integral is associated of a differential equation derived from a Lagrangian are in fact noetherian. The source of the misunderstanding lies in the nonuniqueness of the Lagrangian.
Schleimer, Saul
2004-01-01
We prove that the three-sphere recognition problem lies in the complexity class NP. Our work relies on Thompson's original proof that the problem is decidable [Math. Res. Let., 1994], Casson's version of her algorithm, and recent results of Agol, Hass, and Thurston [ArXiv, 2002].
Kruglikov, Boris
2011-01-01
We prove a global algebraic version of the Lie-Tresse theorem which states that the algebra of differential invariants of an algebraic pseudogroup action on a differential equation is generated by a finite number of polynomial-rational differential invariants and invariant derivations.
Cartan Connections and Lie Algebroids
Directory of Open Access Journals (Sweden)
Michael Crampin
2009-06-01
Full Text Available This paper is a study of the relationship between two constructions associated with Cartan geometries, both of which involve Lie algebroids: the Cartan algebroid, due to [Blaom A.D., Trans. Amer. Math. Soc. 358 (2006, 3651–3671], and tractor calculus [Cap A., Gover A.R., Trans. Amer. Math. Soc. 354 (2001, 1511–1548].
Cartan Connections and Lie Algebroids
Crampin, Michael
2009-01-01
This paper is a study of the relationship between two constructions associated with Cartan geometries, both of which involve Lie algebroids: the Cartan algebroid, due to [Blaom A.D., Trans. Amer. Math. Soc. 358 (2006), 3651-3671], and tractor calculus [Cap A., Gover A.R., Trans. Amer. Math. Soc. 354 (2001), 1511-1548].
Semiclassical states on Lie algebras
International Nuclear Information System (INIS)
The effective technique for analyzing representation-independent features of quantum systems based on the semiclassical approximation (developed elsewhere) has been successfully used in the context of the canonical (Weyl) algebra of the basic quantum observables. Here, we perform the important step of extending this effective technique to the quantization of a more general class of finite-dimensional Lie algebras. The case of a Lie algebra with a single central element (the Casimir element) is treated in detail by considering semiclassical states on the corresponding universal enveloping algebra. Restriction to an irreducible representation is performed by “effectively” fixing the Casimir condition, following the methods previously used for constrained quantum systems. We explicitly determine the conditions under which this restriction can be consistently performed alongside the semiclassical truncation
Semiclassical States on Lie Algebras
Tsobanjan, Artur
2014-01-01
The effective technique for analyzing representation-independent features of quantum systems based on the semiclassical approximation (developed elsewhere), has been successfully used in the context of the canonical (Weyl) algebra of the basic quantum observables. Here we perform the important step of extending this effective technique to the quantization of a more general class of finite-dimensional Lie algebras. The case of a Lie algebra with a single central element (the Casimir element) is treated in detail by considering semiclassical states on the corresponding universal enveloping algebra. Restriction to an irreducible representation is performed by "effectively" fixing the Casimir condition, following the methods previously used for constrained quantum systems. We explicitly determine the conditions under which this restriction can be consistently performed alongside the semiclassical truncation.
On Lie Algebroids and Poisson Algebras
Directory of Open Access Journals (Sweden)
Yuriĭ Vorobjev
2012-02-01
Full Text Available We introduce and study a class of Lie algebroids associated to faithful modules which is motivated by the notion of cotangent Lie algebroids of Poisson manifolds. We also give a classification of transitive Lie algebroids and describe Poisson algebras by using the notions of algebroid and Lie connections.
Can Lies Be Detected Unconsciously?
Directory of Open Access Journals (Sweden)
David eShanks
2015-08-01
Full Text Available People are typically poor at telling apart truthful and deceptive statements. Based on the Unconscious Thought Theory, it has been suggested that poor lie detection arises from the intrinsic limitations of conscious thinking and can be improved by facilitating the contribution of unconscious thought. In support of this hypothesis, Reinhard, Greifeneder, and Scharmach (2013 observed improved lie detection among participants engaging in unconscious thought. The present study aimed to replicate this unconscious thought advantage using a similar experimental procedure but with an important improvement in a key control condition. Specifically, participants judged the truthfulness of 8 video recordings in three thinking modes: immediately after watching them or after a period of unconscious or conscious deliberation. Results from two experiments (combined N = 226 failed to reveal a significant difference in lie detection accuracy between the thinking modes, even after efforts were made to facilitate the occurrence of an unconscious thought advantage in Experiment 2. The results imply that the unconscious thought advantage in deception detection is not a robust phenomenon.
Can lies be detected unconsciously?
Moi, Wen Ying; Shanks, David R
2015-01-01
People are typically poor at telling apart truthful and deceptive statements. Based on the Unconscious Thought Theory, it has been suggested that poor lie detection arises from the intrinsic limitations of conscious thinking and can be improved by facilitating the contribution of unconscious thought (UT). In support of this hypothesis, Reinhard et al. (2013) observed improved lie detection among participants engaging in UT. The present study aimed to replicate this UT advantage using a similar experimental procedure but with an important improvement in a key control condition. Specifically, participants judged the truthfulness of eight video recordings in three thinking modes: immediately after watching them or after a period of unconscious or conscious deliberation. Results from two experiments (combined N = 226) failed to reveal a significant difference in lie detection accuracy between the thinking modes, even after efforts were made to facilitate the occurrence of an UT advantage in Experiment 2. The results imply that the UT advantage in deception detection is not a robust phenomenon. PMID:26379575
They Lie, We Lie: Gettingon With Anthropology, Peter Metcalf
Winzeler, Robert L.
2014-01-01
The title of this elegantly written book about Peter Metcalf’s fieldwork among the longhouse-dwelling Berawan of northern central Borneo has a double meaning. In literal terms, the phrase “They lie, we lie” is a translation of a formulaic opening used by a Berawan elder to begin her narration of a sacred epic. The author regards the statement as profound and, therefore, offers no exact interpretation of its meaning except to say that it is definitely not intended to imply that the narrator is...
Lie Algebras and Related Topics
Institute of Scientific and Technical Information of China (English)
Yucai SU; Shaobin TAN; Hechun ZHANG
2011-01-01
From July 20 to 26,2011,the Department of Mathematics at Huzhou Teachers College will host the 12th National Conference on Lie Algebras.Aiming to offer a forum for people working in this old but still exciting field to exchange research ideas and enhance collaborations,the conference will bring together some 150 participants from all over China and some participants overseas as well.There will be 41 talks during the conference and among them 8 are invited ones.Detailed information on the conference,including the organizing committee,the scientific committee,the invited speakers,and the conference program,can be found in
Transformation groups and Lie algebras
Ibragimov, Nail H
2013-01-01
This book is based on the extensive experience of teaching for mathematics, physics and engineering students in Russia, USA, South Africa and Sweden. The author provides students and teachers with an easy to follow textbook spanning a variety of topics. The methods of local Lie groups discussed in the book provide universal and effective method for solving nonlinear differential equations analytically. Introduction to approximate transformation groups also contained in the book helps to develop skills in constructing approximate solutions for differential equations with a small parameter.
Lie superalgebras with some homogeneous structures
Ayadi, Imen; Benayadi, Saïd
2010-01-01
We generalize to the case of Lie superalgebras the classical symplectic double extension of symplectic Lie algebras introduced in [2]. We use this concept to give an inductive description of nilpotent homogeneous-symplectic Lie superalgebras. Several examples are included to show the existence of homogeneous quadratic symplectic Lie superalgebras other than even-quadratic even-symplectic considered in [6]. We study the structures of even (resp. odd)-quadratic odd (resp. even)-symplectic Lie superalgebras and odd-quadratic odd-symplectic Lie superalgebras and we give its inductive descriptions in terms of quadratic generalized double extensions and odd quadratic generalized double extensions. This study complete the inductive descriptions of homogeneous quadratic symplectic Lie superalgebras started in [6]. Finally, we generalize to the case of homogeneous quadratic symplectic Lie superargebras some relations between even-quadratic even-symplectic Lie superalgebras and Manin superalgebras established in [6].
Filiform Lie algebras of order 3
Energy Technology Data Exchange (ETDEWEB)
Navarro, R. M., E-mail: rnavarro@unex.es [Rosa María Navarro. Dpto. de Matemáticas, Universidad de Extremadura, Cáceres (Spain)
2014-04-15
The aim of this work is to generalize a very important type of Lie algebras and superalgebras, i.e., filiform Lie (super)algebras, into the theory of Lie algebras of order F. Thus, the concept of filiform Lie algebras of order F is obtained. In particular, for F = 3 it has been proved that by using infinitesimal deformations of the associated model elementary Lie algebra it can be obtained families of filiform elementary lie algebras of order 3, analogously as that occurs into the theory of Lie algebras [M. Vergne, “Cohomologie des algèbres de Lie nilpotentes. Application à l’étude de la variété des algèbres de Lie nilpotentes,” Bull. Soc. Math. France 98, 81–116 (1970)]. Also we give the dimension, using an adaptation of the sl(2,C)-module Method, and a basis of such infinitesimal deformations in some generic cases.
Classification of Low Dimensional 3-Lie Superalgebras
Abramov, Viktor
2015-01-01
A notion of n-Lie algebra introduced by V.T. Filippov can be viewed as a generalization of a concept of binary Lie algebra to the algebras with n-ary multiplication law. A notion of Lie algebra can be extended to Z_2-graded structures giving a notion of Lie superalgebra. Analogously a notion of n-Lie algebra can be extended to Z_2-graded structures by means of a graded Filippov identity giving a notion of n-Lie superalgebra. We propose a classification of low dimensional 3-Lie superalgebras. We show that given an n-Lie superalgebra equipped with a supertrace one can construct the (n+1)-Lie superalgebra which is referred to as the induced (n+1)-Lie superalgebra. A Clifford algebra endowed with a Z_2-graded structure and a graded commutator can be viewed as the Lie superalgebra. It is well known that this Lie superalgebra has a matrix representation which allows to introduce a supertrace. We apply the method of induced Lie superalgebras to a Clifford algebra to construct the 3-Lie superalgebras and give their e...
[Lie, whacking lie and pseudologia phantastica--pathological lying in factitious disorder].
Haapasalo, Jaana
2014-01-01
Pseudologia phantastica refers to chronic pathological lying without a clear motive. It is a symptom in the factitious disorder in adults, Munchausen syndrome and an illness made up for or inflicted on a child. Child abuse is often involved. Patients making up or causing symptoms for themselves of their child may have been exposed to similar behavior as a child. Some of them have received care and attention only through an illness. Pseudologia phantastica may then in adulthood be directed to making up or causing illnesses for oneself or another person. PMID:25558592
Combination of activity and lying/standing data for detection of oestrus in cows
DEFF Research Database (Denmark)
Jónsson, Ragnar Ingi; Blanke, Mogens; Poulsen, Niels Kjølstad;
2009-01-01
The objective of this study is to develop an algorithm for detecting oestrus in dairy cows from measurements of activity and duration of lying/standing periods. Each cows activity is measured by a sensor attached to the neck that returns an activity index for each hour. Duration of lying is...... and results of decision algorithms are presented for Oestrus detection. Detection based on the lying balance indicator and the two sets of measured information are demonstrated to increase the detection sensitivity to 100% for a set of 10 cows....... measured by a sensor attached to the hind leg of the cow. Activity and lying/standing behaviour are modelled as a discrete event system, constructed using automata theory. In an attempt to estimate a biologically relevant lying balance, a lying balance indicator is constructed and is influencing transition...
Covariant Lie derivatives and Frölicher-Nijenhuis bracket on Lie algebroids
de Nicola, Antonio; Yudin, Ivan
2015-08-01
We define covariant Lie derivatives acting on vector-valued forms on Lie algebroids and study their properties. This allows us to obtain a concise formula for the Frölicher-Nijenhuis bracket on Lie algebroids.
Probability on real Lie algebras
Franz, Uwe
2016-01-01
This monograph is a progressive introduction to non-commutativity in probability theory, summarizing and synthesizing recent results about classical and quantum stochastic processes on Lie algebras. In the early chapters, focus is placed on concrete examples of the links between algebraic relations and the moments of probability distributions. The subsequent chapters are more advanced and deal with Wigner densities for non-commutative couples of random variables, non-commutative stochastic processes with independent increments (quantum Lévy processes), and the quantum Malliavin calculus. This book will appeal to advanced undergraduate and graduate students interested in the relations between algebra, probability, and quantum theory. It also addresses a more advanced audience by covering other topics related to non-commutativity in stochastic calculus, Lévy processes, and the Malliavin calculus.
Neospora caninum is a major pathogen of cattle and dogs that occasionally causes clinical infections in horses, goats, sheep, and deer. The domestic dog is the only known definitive host for N. caninum. In cattle N. caninum is a major cause of bovine abortion in many countries and is one of the mo...
Lie-Rinehart algebras, descent, and quantization
Huebschmann, Johannes
2003-01-01
A Lie-Rinehart algebra consists of a commutative algebra and a Lie algebra with additional structure which generalizes the mutual structure of interaction between the algebra of functions and the Lie algebra of smooth vector fields on a smooth manifold. Lie-Rinehart algebras provide the correct categorical language to solve the problem whether Kaehler quantization commutes with reduction which, in turn, may be seen as a descent problem.
ALIED: A Theory of Lie Detection
Street, Chris N. H.
2016-01-01
We are very inaccurate lie detectors, and tend to believe what others tell us is the truth more often than we ought to. In fact, studies on lie detection typically describe our tendency to believe others as an error in judgment. Although people may look like hopeless lie detectors, the Adaptive Lie Detector theory (ALIED) claims that people are actually making smart, informed judgments. This article explores the ALIED theory and what it means for those wanting to spot a liar.
On Some Varieties of Soluble Lie Algebras
Institute of Scientific and Technical Information of China (English)
NAN JI-ZHU; WANG CHENG-CHENG; LI HAI-LING
2012-01-01
In this paper,we study a class of soluble Lie algebras with variety relations that the commutator of m and n is zero.The aim of the paper is to consider the relationship between the Lie algebra L with the variety relations and the Lie algebra L which satisfies the permutation variety relations for the permutation φ of {3,….,k}.
Integrable systems on semidirect product Lie groups
Capriotti, S
2013-01-01
We study integrable systems on the semidirect product of a Lie group and its Lie algebra as the representation space of the adjoint action. Regarding the tangent bundle of a Lie group as phase space endowed with this semidirect product Lie group structure, we construct a class of symplectic submanifolds equipped with a Dirac bracket on which integrable systems (in the Adler-Kostant-Symes sense) are naturally built through collective dynamics. In doing so, we address other issues as factorization, Poisson-Lie structures and dressing actions. We show that the procedure becomes recursive for some particular Hamilton functions, giving rise to a tower of nested integrable systems.
Automorphic Lie algebras with dihedral symmetry
International Nuclear Information System (INIS)
The concept of automorphic Lie algebras arises in the context of reduction groups introduced in the early 1980s in the field of integrable systems. automorphic Lie algebras are obtained by imposing a discrete group symmetry on a current algebra of Krichever–Novikov type. Past work shows remarkable uniformity between algebras associated to different reduction groups. For example, if the base Lie algebra is sl2(C) and the poles of the automorphic Lie algebra are restricted to an exceptional orbit of the symmetry group, changing the reduction group does not affect the Lie algebra structure. In this research we fix the reduction group to be the dihedral group and vary the orbit of poles as well as the group action on the base Lie algebra. We find a uniform description of automorphic Lie algebras with dihedral symmetry, valid for poles at exceptional and generic orbits. (paper)
Differential Geometry and Lie Groups for Physicists
Fecko, Marián.
2011-03-01
Introduction; 1. The concept of a manifold; 2. Vector and tensor fields; 3. Mappings of tensors induced by mappings of manifolds; 4. Lie derivative; 5. Exterior algebra; 6. Differential calculus of forms; 7. Integral calculus of forms; 8. Particular cases and applications of Stoke's Theorem; 9. Poincaré Lemma and cohomologies; 10. Lie Groups - basic facts; 11. Differential geometry of Lie Groups; 12. Representations of Lie Groups and Lie Algebras; 13. Actions of Lie Groups and Lie Algebras on manifolds; 14. Hamiltonian mechanics and symplectic manifolds; 15. Parallel transport and linear connection on M; 16. Field theory and the language of forms; 17. Differential geometry on TM and T*M; 18. Hamiltonian and Lagrangian equations; 19. Linear connection and the frame bundle; 20. Connection on a principal G-bundle; 21. Gauge theories and connections; 22. Spinor fields and Dirac operator; Appendices; Bibliography; Index.
Noether and Lie symmetries for charged perfect fluids
International Nuclear Information System (INIS)
We study the underlying nonlinear partial differential equation that governs the behaviour of spherically symmetric charged fluids in general relativity. We investigate the conditions for the equation to admit a first integral or be reduced to quadratures using symmetry methods for differential equations. A general Noether first integral is found. We also undertake a comprehensive group analysis of the underlying equation using Lie point symmetries. The existence of a Lie symmetry is subject to solving an integro-differential equation in general; we investigate the conditions under which it can be reduced to quadratures. Earlier results for uncharged fluids and particular first integrals for charged matter are regained as special cases of our treatment.
Noether and Lie symmetries for charged perfect fluids
Energy Technology Data Exchange (ETDEWEB)
Kweyama, M C; Govinder, K S; Maharaj, S D, E-mail: maharaj@ukzn.ac.za [Astrophysics and Cosmology Research Unit, School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X54001, Durban 4000 (South Africa)
2011-05-21
We study the underlying nonlinear partial differential equation that governs the behaviour of spherically symmetric charged fluids in general relativity. We investigate the conditions for the equation to admit a first integral or be reduced to quadratures using symmetry methods for differential equations. A general Noether first integral is found. We also undertake a comprehensive group analysis of the underlying equation using Lie point symmetries. The existence of a Lie symmetry is subject to solving an integro-differential equation in general; we investigate the conditions under which it can be reduced to quadratures. Earlier results for uncharged fluids and particular first integrals for charged matter are regained as special cases of our treatment.
Learning to lie: Effects of practice on the cognitive cost of lying
Directory of Open Access Journals (Sweden)
Bram eVan Bockstaele
2012-11-01
Full Text Available Cognitive theories on deception posit that lying requires more cognitive resources than telling the truth. In line with this idea, it has been demonstrated that deceptive responses are typically associated with increased response times and higher error rates compared to truthful responses. Although the cognitive cost of lying has been assumed to be resistant to practice, it has recently been shown that people who are trained to lie can reduce this cost. In the present study (n = 42, we further explored the effects of practice on one’s ability to lie by manipulating the proportions of lie and truth-trials in a Sheffield lie test across three phases: Baseline (50% lie, 50% truth, Training (frequent-lie group: 75% lie, 25% truth; control group: 50% lie, 50% truth; and frequent-truth group: 25% lie, 75% truth, and Test (50% lie, 50% truth. The results showed that lying became easier while participants were trained to lie more often and that lying became more difficult while participants were trained to tell the truth more often. Furthermore, these effects did carry over to the test phase, but only for the specific items that were used for the training manipulation. Hence, our study confirms that relatively little practice is enough to alter the cognitive cost of lying, although this effect does not persist over time for non-practiced items.
Bagley, Clell V, DVM; Burrell, W. Craig
1997-01-01
Bluetongue (BT) is a viral disease that is spread mainly by one specific type of gnat. Other gnats and blood sucking insects may occasionally transmit BT, but they are much less important in its transfer. Cattle are the main reservoir for overwintering of the virus in temperate climates. The gnats become infected from cattle and then spread the disease to other cattle and sheep as they take blood meals. It is also spread through infected semen and may be spread by blood sucking lice and a sof...
Impact of sheep and cattle grazing on oribatid mite communities
Czech Academy of Sciences Publication Activity Database
Starý, Josef
České Budějovice: Institute of Soil Biology ASCR, 2005. s. 64. [Central European Workshop on Soil Zoology /8./. 20.04.2005-22.04.2005, České Budějovice] Institutional research plan: CEZ:AV0Z60660521 Keywords : sheep grazing * cattle grazing * oribatid mite communities Subject RIV: EH - Ecology, Behaviour
Holomorph of Lie color algebras%Lie color代数的全形
Institute of Scientific and Technical Information of China (English)
杨恒云
2007-01-01
给出Lie color代数全形的一些性质,证明Lie color代数L的全形有分解(H)(L)=L(+)Z(H)(L)(L)的充分必要条件是它是完备Lie color代数.%To the holomorph of Lie color algebras, some properties are studied. A Lie color algebra L is complete if and only if (H)(L) = L(+)Z(H)(L) (L).
Currin, John F.; Whittier, W. Dee; Currin, Nancy
2009-01-01
Mycoplasma is a tiny bacterium that can cause mastitis, metritis, pneumonia, drooped ears, and lameness in dairy cattle. While this bacterium has existed for more than 100 years, the current disease has only recently become a problem in Virginia.
Quantum Lie theory a multilinear approach
Kharchenko, Vladislav
2015-01-01
This is an introduction to the mathematics behind the phrase “quantum Lie algebra”. The numerous attempts over the last 15-20 years to define a quantum Lie algebra as an elegant algebraic object with a binary “quantum” Lie bracket have not been widely accepted. In this book, an alternative approach is developed that includes multivariable operations. Among the problems discussed are the following: a PBW-type theorem; quantum deformations of Kac--Moody algebras; generic and symmetric quantum Lie operations; the Nichols algebras; the Gurevich--Manin Lie algebras; and Shestakov--Umirbaev operations for the Lie theory of nonassociative products. Opening with an introduction for beginners and continuing as a textbook for graduate students in physics and mathematics, the book can also be used as a reference by more advanced readers. With the exception of the introductory chapter, the content of this monograph has not previously appeared in book form.
Killing Forms of Isotropic Lie Algebras
Malagon, Audrey
2010-01-01
This paper presents a method for computing the Killing form of an isotropic Lie algebra defined over an arbitrary field based on the Killing form of a subalgebra containing its anisotropic kernel. This approach allows for streamlined formulas for many Lie algebras of types E6 and E7 and yields a unified formula for all Lie algebras of inner type E6, including the anisotropic ones.
ALIED: A Theory of Lie Detection
Directory of Open Access Journals (Sweden)
Chris N. H. Street
2016-07-01
Full Text Available We are very inaccurate lie detectors, and tend to believe what others tell us is the truth more often than we ought to. In fact, studies on lie detection typically describe our tendency to believe others as an error in judgment. Although people may look like hopeless lie detectors, the Adaptive Lie Detector theory (ALIED claims that people are actually making smart, informed judgments. This article explores the ALIED theory and what it means for those wanting to spot a liar.
Lies and Deception: A Failed Reconciliation
DEFF Research Database (Denmark)
Broncano-Berrocal, Fernando
2013-01-01
The traditional view of lying says that lying is a matter of intending to deceive others by making statements that one believes to be false. Jennifer Lackey has recently defended the following version of the traditional view: A lies to B just in case (i) A states that p to B, (ii) A believes that p...... is false and (iii) A intends to be deceptive to B in stating that p. I argue that, despite all the virtues that Lackey ascribes to her view, conditions (i), (ii) and (iii) are not sufficient for lying....
The structure of complex Lie groups
Lee, Dong Hoon
2001-01-01
Complex Lie groups have often been used as auxiliaries in the study of real Lie groups in areas such as differential geometry and representation theory. To date, however, no book has fully explored and developed their structural aspects.The Structure of Complex Lie Groups addresses this need. Self-contained, it begins with general concepts introduced via an almost complex structure on a real Lie group. It then moves to the theory of representative functions of Lie groups- used as a primary tool in subsequent chapters-and discusses the extension problem of representations that is essential for studying the structure of complex Lie groups. This is followed by a discourse on complex analytic groups that carry the structure of affine algebraic groups compatible with their analytic group structure. The author then uses the results of his earlier discussions to determine the observability of subgroups of complex Lie groups.The differences between complex algebraic groups and complex Lie groups are sometimes subtle ...
Lectures on extended affine Lie algebras
Neher, Erhard
2010-01-01
We give an introduction to the structure theory of extended affine Lie algebras, which provide a common framework for finite-dimensional semisimple, affine and toroidal Lie algebras. The notes are based on a lecture series given during the Fields Institute summer school at the University of Ottawa in June 2009.
Classification and identification of Lie algebras
Snobl, Libor
2014-01-01
The purpose of this book is to serve as a tool for researchers and practitioners who apply Lie algebras and Lie groups to solve problems arising in science and engineering. The authors address the problem of expressing a Lie algebra obtained in some arbitrary basis in a more suitable basis in which all essential features of the Lie algebra are directly visible. This includes algorithms accomplishing decomposition into a direct sum, identification of the radical and the Levi decomposition, and the computation of the nilradical and of the Casimir invariants. Examples are given for each algorithm. For low-dimensional Lie algebras this makes it possible to identify the given Lie algebra completely. The authors provide a representative list of all Lie algebras of dimension less or equal to 6 together with their important properties, including their Casimir invariants. The list is ordered in a way to make identification easy, using only basis independent properties of the Lie algebras. They also describe certain cl...
Cartan calculus on quantum Lie algebras
International Nuclear Information System (INIS)
A generalization of the differential geometry of forms and vector fields to the case of quantum Lie algebras is given. In an abstract formulation that incorporates many existing examples of differential geometry on quantum spaces we combine an exterior derivative, inner derivations, Lie derivatives, forms and functions au into one big algebra, the ''Cartan Calculus.''
Lie algebraic methods for particle accelerator theory
International Nuclear Information System (INIS)
The problem of determining charged particle behavior in electromagnetic fields falls within the realm of Hamiltonian dynamics. Consequently, the motion of a charged particle in an accelerator is amenable to description using a variety of the mathematical structures inherent to a Hamiltonian system. Amongst the most useful of these are a hierarchy of Lie algebras and Lie groups defined via the Poisson bracket. In this thesis new applications are made of several concepts from the theory of Lie groups and Lie algebras to certain types of calculations encountered in accelerator science. A variety of techniques are introduced from the theory of Lie algebras which prove useful in developing a description of charged particle motion. Applications of these techniques are then made. A preponderence of this thesis concerns itself with computation of particle trajectories using Lie algebraic methods. An analytical perturbation method for computing particle trajectories is developed and application made to a variety of beam-line elements common in accelerators. In addition, methods for numerical computations based on a Lie algebraic formalism are introduced. An algebraically based tracking code (MARYLIE) is presented as an example of the economy of calculation made possible through use of Lie algebraic methods. This code is designed to perform ray traces through beam lines (comprised of any of a variety of common elements) accurately through nonlinear terms of third order in deviations from beam-line design values. Comparison is made with current matrix theories (which generally include only second order nonlinearities)
Graded-Lie-algebra cohomology and supergravity
International Nuclear Information System (INIS)
Detailed explanations of the cohomology invoked in the group-manifold approach to supergravity is given. The Chevalley cohomology theory of Lie algebras is extended to graded Lie algebras. The scheme of geometrical theories is enlarged so to include cosmological terms and higher powers of the curvature. (author)
Conformal field theory on affine Lie groups
International Nuclear Information System (INIS)
Working directly on affine Lie groups, we construct several new formulations of the WZW model, the gauged WZW model, and the generic affine-Virasoro action. In one formulation each of these conformal field theories (CFTs) is expressed as a one-dimensional mechanical system whose variables are coordinates on the affine Lie group. When written in terms of the affine group element, this formulation exhibits a two-dimensional WZW term. In another formulation each CFT is written as a two-dimensional field theory, with a three- dimensional WZW term, whose fields are coordinates on the affine group. On the basis of these equivalent formulations, we develop a translation dictionary in which the new formulations on the affine Lie group are understood as mode formulations of the conventional formulations on the Lie group. Using this dictionary, we also express each CFT as a three-dimensional field theory on the Lie group with a four-dimensional WZW term. 36 refs
Conformal field theory on affine Lie groups
Energy Technology Data Exchange (ETDEWEB)
Clubok, K.S.
1996-04-01
Working directly on affine Lie groups, we construct several new formulations of the WZW model, the gauged WZW model, and the generic affine-Virasoro action. In one formulation each of these conformal field theories (CFTs) is expressed as a one-dimensional mechanical system whose variables are coordinates on the affine Lie group. When written in terms of the affine group element, this formulation exhibits a two-dimensional WZW term. In another formulation each CFT is written as a two-dimensional field theory, with a three- dimensional WZW term, whose fields are coordinates on the affine group. On the basis of these equivalent formulations, we develop a translation dictionary in which the new formulations on the affine Lie group are understood as mode formulations of the conventional formulations on the Lie group. Using this dictionary, we also express each CFT as a three-dimensional field theory on the Lie group with a four-dimensional WZW term. 36 refs.
Some evidence for unconscious lie detection.
Ten Brinke, Leanne; Stimson, Dayna; Carney, Dana R
2014-05-01
To maximize survival and reproductive success, primates evolved the tendency to tell lies and the ability to accurately detect them. Despite the obvious advantage of detecting lies accurately, conscious judgments of veracity are only slightly more accurate than chance. However, findings in forensic psychology, neuroscience, and primatology suggest that lies can be accurately detected when less-conscious mental processes (as opposed to more-conscious mental processes) are used. We predicted that observing someone tell a lie would automatically activate cognitive concepts associated with deception, and observing someone tell the truth would activate concepts associated with truth. In two experiments, we demonstrated that indirect measures of deception detection are significantly more accurate than direct measures. These findings provide a new lens through which to reconsider old questions and approach new investigations of human lie detection. PMID:24659190
Personal behaviour and lying teenager’s behaviour in mutual relations with teachers and parent
Конькова, Олеся Владимировна
2004-01-01
В абстракте описываются результаты исследования личностного и лживого поведения подростков, которые они склонны демонстрировать в отношениях с учителями и родителями, а также раскрываются существующие различий между мальчиками и девочками.
LieART -- A Mathematica Application for Lie Algebras and Representation Theory
Feger, Robert
2012-01-01
We present the Mathematica application LieART (Lie Algebras and Representation Theory) for computations frequently encountered in Lie Algebras and representation theory, such as tensor product decomposition and subalgebra branching of irreducible representations. LieART can handle all classical and exceptional Lie algebras. It computes root systems of Lie algebras, weight systems and several other properties of irreducible representations. LieART's user interface has been created with a strong focus on usability and thus allows the input of irreducible representations via their dimensional name, while the output is in the textbook style used in most particle-physics publications. The unique Dynkin labels of irreducible representations are used internally and can also be used for input and output. LieART exploits the Weyl reflection group for most of the calculations, resulting in fast computations and a low memory consumption. Extensive tables of properties, tensor products and branching rules of irreducible ...
M2 to D2 and vice versa by 3-Lie and Lie bialgebra
Aali-Javanangrouh, M
2016-01-01
Using the concept of 3-Lie bialgebra, which has recently been defined in arXiv:1604.04475, we construct Bagger-Lambert-Gustavson (BLG) model for M2-brane on Manin triple of a special 3-Lie bialgebra. Then by using the relation between and correspondence of those 3-Lie bialgebra with Lie bialgebra, we reduce this model to an $N=(4,4)$ WZW model (a D2-brane), such that, its algebraic structure is a Lie bialgebra with one 2-cocycle. In this manner by using correspondence of 3-Lie bialgebra and Lie bialgebra (for this special 3-Lie algebra) one can construct M2-brane from a D2-brane and vice versa.
Cecília José Veríssimo; Selma D'Agostino; Fernanda Pessoa; Luciandra Macedo Toledo; Keila Maria Roncato Duarte
2013-01-01
The shearing operation can provide double benefits to the cattle: they can become more heat tolerant and the tick infestation decreases. The cattle tick Rhipicephalus (Boophilus) microplus causes great losses to dairy cattle, especially to the Holstein cattle because they are very susceptible to this tick. Its control is becoming each day more difficult, owing to the increasing resistance to acaricides they are acquiring. The objective of this work was to study the growing of haircoat followi...
A-扩张Lie Rinehart代数%On the A-extended Lie Rinehart Algebras
Institute of Scientific and Technical Information of China (English)
陈酌; 祁玉海
2007-01-01
The purpose of this paper is to give a brief introduction to the category of Lie Rinehart algebras and introduces the concept of smooth manifolds associated with a unitary,commutative, associative algebra A. It especially shows that the A-extended algebra as well as the action algebra can be realized as the space of A-left invariant vector fields on a Lie group, analogous to the well known relationship of Lie algebras and Lie groups.
DEFF Research Database (Denmark)
Mark, Thomas; Sandøe, Peter
2010-01-01
The aim of this paper is to discuss the potential consequences of modern dairy cattle breeding for the welfare of dairy cows. The paper focuses on so-called genomic selection, which deploys thousands of genetic markers to estimate breeding values. The discussion should help to structure the...... thoughts of breeders and other stakeholders on how to best make use of genomic breeding in the future. Intensive breeding has played a major role in securing dramatic increases in milk yield since the Second World War. Until recently, the main focus in dairy cattle breeding was on production traits, but......, unfavourable genetic trends for metabolic, reproductive, claw and leg diseases indicate that these attempts have been insufficient. Today, novel genome-wide sequencing techniques are revolutionising dairy cattle breeding; these enable genetic changes to occur at least twice as rapidly as previously. While...
Vertex Lie algebras and cyclotomic coinvariants
Vicedo, Benoit; Young, Charles A. S.
2014-01-01
Given a vertex Lie algebra $\\mathscr L$ equipped with an action by automorphisms of a cyclic group $\\Gamma$, we define spaces of cyclotomic coinvariants over the Riemann sphere. These are quotients of tensor products of smooth modules over `local' Lie algebras $\\mathsf L(\\mathscr L)_{z_i}$ assigned to marked points $z_i$, by the action of a `global' Lie algebra ${\\mathsf L}^{\\Gamma}_{\\{z_i \\}}(\\mathscr L)$ of $\\Gamma$-equivariant functions. On the other hand, the universal enveloping vertex a...
The Frattini Subalgebra of Restricted Lie Superalgebras
Institute of Scientific and Technical Information of China (English)
Liang Yun CHEN; Dao Ji MENG; Yong Zheng ZHANG
2006-01-01
In the present paper, we study the Frattini subalgebra of a restricted Lie superalgebra (L, [p]). We show first that if L = A1 (⊙) A2 (⊙) … (⊙) An, then φp (L) = φp (A1) + φp (A2) +… +φp (An),where each Ai is a p-ideal of L. We then obtain two results: F(L) = φ(L) = J(L) = L(1) if and only if L is nilpotent; Fp(L) and F(L) are nilpotent ideals of L if L is solvable. In addition, necessary and sufficient conditions are found for φp-free restricted Lie superalgebras. Finally, we discuss the relationships of E-p-restricted Lie superalgebras and E-restricted Lie superalgebras.
Lie Algebras and the Four Color Theorem
Bar-Natan, Dror
1996-01-01
We present a ``reasonable'' statement about Lie algebras that is equivalent to the Four Color Theorem. The notions appearing in the statement also appear in the theory of finite-type invariants of knots (Vassiliev invariants) and 3-manifolds.
Reduction of Dynamics with Lie Group Analysis
Iwasa, M.
2012-01-01
This paper is mainly a review concerning singular perturbation methods by means of Lie group analysis which has been presented by the author. We make use of a particular type of approximate Lie symmetries in those methods in order to construct reduced systems which describe the long-time behavior of the original dynamical system. Those methods can be used in analyzing not only ordinary differential equations but also difference equations. Although this method has been mainly used in order to ...
Constructing semisimple subalgebras of semisimple Lie algebras
de Graaf, Willem A
2010-01-01
Algorithms are described that help with obtaining a classification of the semisimple subalgebras of a given semisimple Lie algebra, up to linear equivalence. The algorithms have been used to obtain classifications of the semisimple subalgebras of the simple Lie algebras of ranks <= 8. These have been made available as a database inside the SLA package of GAP4. The subalgebras in this database are explicitly given, as well as the inclusion relations among them.
New examples of continuum graded Lie algebras
International Nuclear Information System (INIS)
Several new examples of continuum graded Lie algebras which provide an additional elucidation of these algebras are given. Here, in particular, the Kac-Moody algebras, the algebra S0 Diff T2 of infinitesimal area-preserving diffeomorphisms of the torus T2, the Fairlie, Fletcher and Zachos sine-algebras, etc., are described as special cases of the cross product Lie algebras. 8 refs
Arithmetic Deformation Theory of Lie Algebras
Rastegar, Arash
2012-01-01
This paper is devoted to deformation theory of graded Lie algebras over $\\Z$ or $\\Z_l$ with finite dimensional graded pieces. Such deformation problems naturally appear in number theory. In the first part of the paper, we use Schlessinger criteria for functors on Artin local rings in order to obtain universal deformation rings for deformations of graded Lie algebras and their graded representations. In the second part, we use a version of Schlessinger criteria for functors on the Artinian cat...
Good gradings of basic Lie superalgebras
Hoyt, Crystal
2010-01-01
We classify good Z-gradings of basic Lie superalgebras over an algebraically closed field of characteristic zero. Good Z-gradings are used in quantum Hamiltonian reduction for affine Lie superalgebras, where they play a role in the construction of super W-algebras. We also describe the centralizer of a nilpotent even element and of an sl(2)-triple in gl(m|n) and osp(m|2n).
Generalised Jantzen filtration of Lie superalgebras I
Su, Yucai; Zhang, R. B.
2010-01-01
A Jantzen type filtration for generalised Varma modules of Lie superalgebras is introduced. In the case of type I Lie superalgebras, it is shown that the generalised Jantzen filtration for any Kac module is the unique Loewy filtration, and the decomposition numbers of the layers of the filtration are determined by the coefficients of inverse Kazhdan-Lusztig polynomials. Furthermore, the length of the Jantzen filtration for any Kac module is determined explicitly in terms of the degree of atyp...
Cartan Calculus on Quantum Lie Algebras
Schupp, Peter; Watts, Paul; Zumino, Bruno
1993-01-01
A generalization of the differential geometry of forms and vector fields to the case of quantum Lie algebras is given. In an abstract formulation that incorporates many existing examples of differential geometry on quantum spaces we combine an exterior derivative, inner derivations, Lie derivatives, forms and functions all into one big algebra, the ``Cartan Calculus''. (This is an extended version of a talk presented by P. Schupp at the XXII$^{th}$ International Conference on Differential Geo...
The Jacobi Identity beyond Lie Algebras
Nishimura, Hirokazu
2009-01-01
Frolicher and Nijenhuis recognized well in the middle of the previous century that the Lie bracket and its Jacobi identity could and should exist beyond Lie algebras. Nevertheless the conceptual meaning of their discovery has been obscured by the messy techniques they exploited. The principal objective in this paper is to show that the double dualization functor in a cartesian closed category as well as synthetic differential geometry provides an adequate framework, in which their discovery's...
Variational Lie derivative and cohomology classes
Palese, Marcella; Winterroth, Ekkehart
2011-07-01
We relate cohomology defined by a system of local Lagrangian with the cohomology class of the system of local variational Lie derivative, which is in turn a local variational problem; we show that the latter cohomology class is zero, since the variational Lie derivative `trivializes' cohomology classes defined by variational forms. As a consequence, conservation laws associated with symmetries of the second variational derivative of a local variational problem are globally defined.
Impact of grazing and overwintering cattle on the soil fungal communities of grassland pasture soil
Czech Academy of Sciences Publication Activity Database
Jirout, Jiří; Chroňáková, Alica; Elhottová, Dana
Braunschweig : Bba - Federal Biological Research Centre for Agriculture and Forestry, 2007. s. 113. [Symposium on Bacterial Genetics and Ecology. BAGECO 9. Microbial Community Networks /9./. 23.06.2007-27.06.2007, Wernigerode] R&D Projects: GA AV ČR IAA600660605; GA MŠk LC06066 Institutional research plan: CEZ:AV0Z60660521 Keywords : grazing cattle * overwintering cattle * soil fungal communities Subject RIV: EH - Ecology, Behaviour
Man-eating and cattle-lifting by tigers and conservation implications in India
Chauhan, N. P. S.
2011-01-01
We investigated the incidences of human casualties and cattle-lifting by tigers and circumstances of attacks and suggested mitigation strategies. In India, tigers mostly survive in small numbers in protected areas which are isolated due to habitat fragmentation and disturbances. Man-killing behaviour and predation on cattle are the main issues of confrontation, and as a result, the conservation efforts are adversely affected. In the states of Uttar Pradesh, Uttarakhand, Rajasthan, Madhya Prad...
Schubert calculus and cohomology of Lie groups. Part II. Compact Lie groups
Duan, Haibao
2015-01-01
Let $G$ be a compact Lie group with a maximal torus $T$. Based on a presentation of the integral cohomology ring $H^{\\ast}(G/T)$ of the flag manifold $G/T$ in \\cite{DZ1}we have presented in \\cite{DZ2}an explicit and unified construction of the integral cohomology rings $H^{\\ast}(G)$ for the $1$--connected Lie groups $G$. In this paper we extend this construction to all compact Lie groups.
Detecting true lies:police officers' ability to detect suspects' lies
Mann, Samantha; Vrij, Aldert; Bull, Ray
2004-01-01
Ninety-nine police officers, not identified in previous research as belonging to groups which are superior in lie detection, attempted to detect truths and lies told by suspects during their videotaped police interviews. Accuracy rates were higher than typically found in deception research and reached levels similar to those obtained by specialized lie detectors in previous research. Accuracy was positively correlated with perceived experience in interviewing suspects and with mentioning cues...
A validation of technologies monitoring dairy cow feeding, ruminating, and lying behaviors.
Borchers, M R; Chang, Y M; Tsai, I C; Wadsworth, B A; Bewley, J M
2016-09-01
The objective of this study was to evaluate commercially available precision dairy technologies against direct visual observations of feeding, rumination, and lying behaviors. Primiparous (n=24) and multiparous (n=24) lactating Holstein dairy cattle (mean ± standard deviation; 223.4±117.8 d in milk, producing 29.2±8.2kg of milk/d) were fitted with 6 different triaxial accelerometer technologies evaluating cow behaviors at or before freshening. The AfiAct Pedometer Plus (Afimilk, Kibbutz Afikim, Israel) was used to monitor lying time. The CowManager SensOor (Agis, Harmelen, Netherlands) monitored rumination and feeding time. The HOBO Data Logger (HOBO Pendant G Acceleration Data Logger, Onset Computer Corp., Pocasset, MA) monitored lying time. The CowAlert IceQube (IceRobotics Ltd., Edinburgh, Scotland) monitored lying time. The Smartbow (Smartbow GmbH, Jutogasse, Austria) monitored rumination time. The Track A Cow (ENGS, Rosh Pina, Israel) monitored lying time and time spent around feeding areas for the calculation of feeding time. Over 8 d, 6 cows per day were visually observed for feeding, rumination, and lying behaviors for 2 h after morning and evening milking. The time of day was recorded when each behavior began and ended. These times were used to generate the length of time behaviors were visually observed. Pearson correlations (r; calculated using the CORR procedure of SAS Version 9.3, SAS Institute Inc., Cary, NC), and concordance correlations (CCC; calculated using the epiR package of R version 3.1.0, R Foundation for Statistical Computing, Vienna, Austria) evaluated association between visual observations and technology-recorded behaviors. Visually recorded feeding behaviors were moderately correlated with the CowManager SensOor (r=0.88, CCC=0.82) and Track A Cow (r=0.93, CCC=0.79) monitors. Visually recorded rumination behaviors were strongly correlated with the Smartbow (r=0.97, CCC=0.96), and weakly correlated with the CowManager SensOor (r=0
Sati, Hisham
2015-01-01
We uncover higher algebraic structures on Noether currents and BPS charges. It is known that equivalence classes of conserved currents form a Lie algebra. We show that at least for target space symmetries of higher parameterized WZW-type sigma-models this naturally lifts to a Lie (p+1)-algebra structure on the Noether currents themselves. Applied to the Green-Schwarz-type action functionals for super p-brane sigma-models this yields super Lie (p+1)-algebra refinements of the traditional BPS brane charge extensions of supersymmetry algebras. We discuss this in the generality of higher differential geometry, where it applies also to branes with (higher) gauge fields on their worldvolume. Applied to the M5-brane sigma-model we recover and properly globalize the M-theory super Lie algebra extension of 11-dimensional superisometries by 2-brane and 5-brane charges. Passing beyond the infinitesimal Lie theory we find cohomological corrections to these charges in higher analogy to the familiar corrections for D-brane...
Application of the cohomology of graded Lie algebras to formal deformations of Lie algebras
International Nuclear Information System (INIS)
The purpose of the Letter is to show how to use the cohomology of the Nijenhuis-Richardson graded Lie algebra of a vector space to construct formal deformations of each Lie algebra structure of that space. One then shows that the de Rham cohomology classes of the graded Lie algebra of the space of smooth functions on the manifold. One uses these classes and the general construction above to provide one-differential formal deformations of the Poisson Lie algebra of the Poisson manifolds and to classify all these deformations in the symplectic case. (orig.)
Quiver Gauge theories from Lie Superalgebras
Belhaj, A
2012-01-01
We discuss quiver gauge models with matter fields based on Dynkin diagrams of Lie superalgebra structures. We focus on A(1,0) case and we find first that it can be related to intersecting complex cycles with genus $g$. Using toric geometry, A(1,0) quivers are analyzed in some details and it is shown that A(1,0) can be used to incorporate fundamental fields to a product of two unitary factor groups. We expect that this approach can be applied to other kinds of Lie superalgebras;
Discrete Lie Advection of Differential Forms
Mullen, P; Pavlov, D; Durant, L; Tong, Y; Kanso, E; Marsden, J E; Desbrun, M
2009-01-01
In this paper, we present a numerical technique for performing Lie advection of arbitrary differential forms. Leveraging advances in high-resolution finite volume methods for scalar hyperbolic conservation laws, we first discretize the interior product (also called contraction) through integrals over Eulerian approximations of extrusions. This, along with Cartan's homotopy formula and a discrete exterior derivative, can then be used to derive a discrete Lie derivative. The usefulness of this operator is demonstrated through the numerical advection of scalar fields and 1-forms on regular grids.
Nijenhuis Operators on n-Lie Algebras
Jie-Feng, Liu; Yun-He, Sheng; Yan-Qiu, Zhou; Cheng-Ming, Bai
2016-06-01
In this paper, we study (n ‑ 1)-order deformations of an n-Lie algebra and introduce the notion of a Nijenhuis operator on an n-Lie algebra, which could give rise to trivial deformations. We prove that a polynomial of a Nijenhuis operator is still a Nijenhuis operator. Finally, we give various constructions of Nijenhuis operators and some examples. Supported by National Natural Science Foundation of China under Grant Nos. 11471139, 11271202, 11221091, 11425104, Specialized Research Fund for the Doctoral Program of Higher Education under Grant No. 20120031110022, and National Natural Science Foundation of Jilin Province under Grant No. 20140520054JH
Lie groups and grand unified theories
International Nuclear Information System (INIS)
This work presents some concepts in group theory and Lie algebras and, at same time, shows a method to study and work with semisimple Lie groups, based on Dynkin diagrams. The aproach taken is not completely formal, but it presents the main points of the elaboration of the method, so its mathematical basis is designed with the purpose of making the reading not so cumbersome to those who are interested only in a general picture of the method and its usefulness. At the end it is shown a brief review of gauge theories and two grand-unification models based on SO(13) and E7 gauge groups. (author)
Arteriosclerosis in Seven Cattle
Bundza, Adam; Stevenson, Daniel A.
1987-01-01
Sporadic arteriosclerosis of the aorta, with or without pulmonary ossification, occurred in seven cattle from slaughter-houses and farms. Aortic walls were thickened, and had many white or yellow mineralized plaques on the intimal surface. The lungs did not collapse, were firm, gritty and crepitant on palpation, and sponge-like in appearance on cross section. Microscopically, the aortas had mineral deposits in the tunica intima and media, varying in size and structure and surrounded by fibrou...
Symplectic, orthogonal and linear Lie groups in Clifford algebra
Shirokov, D. S.
2014-01-01
In this paper we prove isomorphisms between 5 Lie groups (of arbitrary dimension and fixed signatures) in Clifford algebra and classical matrix Lie groups - symplectic, orthogonal and linear groups. Also we obtain isomorphisms of corresponding Lie algebras.
Youcef Mehdi; Isabelle Dufrasne
2016-01-01
This review article examines the role of selenium (Se) and the effects of Se supplementation especially in the bovine species. Selenium is an important trace element in cattle. Some of its roles include the participation in the antioxidant defense the cattle farms. The nutritional requirements of Se in cattle are estimated at 100 μg/kg DM (dry matter) for beef cattle and at 300 μg/kg DM for dairy cows. The rations high in fermentable carbohydrates, nitrates, sulfates, calcium or hydrogen cyan...
Teaching the Truth about Lies to Psychology Students: The Speed Lying Task
Pearson, Matthew R.; Richardson, Thomas A.
2013-01-01
To teach the importance of deception in everyday social life, an in-class activity called the "Speed Lying Task" was given in an introductory social psychology class. In class, two major research findings were replicated: Individuals detected deception at levels no better than expected by chance and lie detection confidence was unrelated…
Why Do Lie-Catchers Fail? A Lens Model Meta-Analysis of Human Lie Judgments
Hartwig, Maria; Bond, Charles F., Jr.
2011-01-01
Decades of research has shown that people are poor at detecting lies. Two explanations for this finding have been proposed. First, it has been suggested that lie detection is inaccurate because people rely on invalid cues when judging deception. Second, it has been suggested that lack of valid cues to deception limits accuracy. A series of 4…
The Lie Algebras in which Every Subspace s Its Subalgebra
Institute of Scientific and Technical Information of China (English)
WU MING-ZHONG
2009-01-01
In this paper, we study the Lie algebras in which every subspace is its subalgebra (denoted by HB Lie algebras). We get that a nonabelian Lie algebra is an HB Lie algebra if and only if it is isomorphic to g+Cidg, where g is an abelian Lie algebra. Moreover we show that the derivation algebra and the holomorph of a nonabelian HB Lie algebra are complete.
Universal Lie algebra extensions via commutative structures
Yanovski, A B
2001-01-01
We consider some special type extensions of an arbitrary Lie algebra, which we call universal extensions. We show that these extensions are in one-to-one correspondence with finite dimensional associative commutative algebras. We also construct a special kind of these extensions, that correspond to a finite commutative monoids.
COMPENSATED COMPACTNESS AND THE STRATIFIED LIE GROUP
Institute of Scientific and Technical Information of China (English)
Yu Liu
2009-01-01
In this paper we prove that the Jacobian J(F) of a map F(f1,... ,fl) from G into Rl maps the product of Lebesgue space LPI x ... X LPI into local Hardy space Hγ(G), where Q/Q+11＜γ ＜=1, and Q is the homogeneous dimension of the stratified Lie group G.
Lie algebras and linear differential equations.
Brockett, R. W.; Rahimi, A.
1972-01-01
Certain symmetry properties possessed by the solutions of linear differential equations are examined. For this purpose, some basic ideas from the theory of finite dimensional linear systems are used together with the work of Wei and Norman on the use of Lie algebraic methods in differential equation theory.
Wigner quantum systems (Lie superalgebraic approach)
Palev, T. D.; Stoilova, N. I.
2001-01-01
We present three groups of examples of Wigner Quantum Systems related to the Lie superalgebras $osp(1/6n)$, $sl(1/3n)$ and $sl(n/3)$ and discuss shortly their physical features. In the case of $sl(1/3n)$ we indicate that the underlying geometry is noncommutative.
Happiness lies somewhere in your brain
Institute of Scientific and Technical Information of China (English)
梅寒
2007-01-01
<正> When I was a kid,I defined happinessas being able to afford anything that was de-sired and thus I came up with the conclusionthat happiness lies in the possession of mon-ey.Time turned me tall and smart,also,able
Lie group computation of finite difference schemes
Hoarau, Emma; David, Claire
2006-01-01
nombre de pages 10 A Mathematica based program has been elaborated in order to determine the symmetry group of a finite difference equation, by means of its differential representation. The package provides functions which enable us to solve the determining equations of the related Lie group
On Split Lie Triple Systems II
Indian Academy of Sciences (India)
Antonio J Calderón Martín; M Forero Piulestán
2010-04-01
In [4] it is studied that the structure of split Lie triple systems with a coherent 0-root space, that is, satisfying $[T_0,T_0,T]=0$ and $[T_0,T_,T_0]≠ 0$ for any nonzero root and where $T_0$ denotes the 0-root space and $T_$ the -root space, by showing that any of such triple systems with a symmetric root system is of the form $T=\\mathcal{U}+\\sum_j I_j$ with $\\mathcal{U}$ a subspace of the 0-root space $T_0$ and any $I_j$ a well described ideal of , satisfying $[I_j,T,I_k]=0$ if $j≠ k$. It is also shown in [4] that under certain conditions, a split Lie triple system with a coherent 0-root space is the direct sum of the family of its minimal ideals, each one being a simple split Lie triple system, and the simplicity of is characterized. In the present paper we extend these results to arbitrary split Lie triple systems with no restrictions on their 0-root spaces.
Charge operators in simple Lie groups
Taormina, A.
1984-03-01
Charge operators for representations of dimension less than or equal to 16 are computed in all simple Lie groups. The representations for which the charge operator reproduces the charge spectrum of leptons and quarks of one family are analyzed from a GUT point of view.
Analytic factorization of Lie group representations
DEFF Research Database (Denmark)
Gimperlein, Heiko; Krötz, Bernhard; Lienau, Christoph
2012-01-01
For every moderate growth representation (p,E)(p,E) of a real Lie group G on a Fréchet space, we prove a factorization theorem of Dixmier–Malliavin type for the space of analytic vectors E¿E¿. There exists a natural algebra of superexponentially decreasing analytic functions A(G)A(G), such that E...
Are 'Lying Compositions' Detrimental To Student Growth?
Institute of Scientific and Technical Information of China (English)
2010-01-01
@@ A greater number of primary school students are inventing stories and telling lies when they are supposed to be writing about personal experiences. The Chengdu Business Daily said, of 40 pupils in a grade-four class, 30 wrote about how they struggled with human traffickers or thieves, and 26 pupils admitted they made the stories up.
Lie Algebra of Noncommutative Inhomogeneous Hopf Algebra
Lagraa, M.; Touhami, N.
1997-01-01
We construct the vector space dual to the space of right-invariant differential forms construct from a first order differential calculus on inhomogeneous quantum group. We show that this vector space is equipped with a structure of a Hopf algebra which closes on a noncommutative Lie algebra satisfying a Jacobi identity.
Classical Hamiltonian Dynamics and Lie Group Algebras
Aycock, B; Silverberg, J L; Widom, A
2008-01-01
The classical Hamilton equations of motion yield a structure sufficiently general to handle an almost arbitrary set of ordinary differential equations. Employing elementary algebraic methods, it is possible within the Hamiltonian structure to describe many physical systems exhibiting Lie group symmetries. Elementary examples include magnetic moment precession and the mechanical orbits of color charged particles in classical non-abelian chromodynamics.
Spinor representations of affine Lie algebras
Frenkel, I. B.
1980-01-01
Let [unk] be an infinite-dimensional Kac-Moody Lie algebra of one of the types Dl+1(2), Bl(1), or Dl(1). These algebras are characterized by the property that an elimination of any endpoint of their Dynkin diagrams gives diagrams of types Bl or Dl of classical orthogonal Lie algebras. We construct two representations of a Lie algebra [unk], which we call spinor representations, following the analogy with the classical case. We obtain that every spinor representation is either irreducible or has two irreducible components. This provides us with an explicit construction of fundamental representations of [unk], two for the type Dl+1(2), three for Bl(1), and four for Dl(1). We note the profound connection of our construction with quantum field theory—in particular, with fermion fields. Comparing the character formulas of our representations with another construction of the fundamental representations of Kac-Moody Lie algebras of types Al(1), Dl(1), El(1), we obtain classical Jacobi identities and addition formulas for elliptic θ-functions. PMID:16592912
Cohomology of skew-holomorphic lie algebroids
Bruzzo, U.; Rubtsov, V. N.
2010-12-01
We introduce the notion of a skew-holomorphic Lie algebroid on a complex manifold and explore some cohomology theories that can be associated with it. We present examples and applications of this notion in terms of different types of holomorphic Poisson structures.
Structures Preserved by Exceptional Lie Algebras
Larsson, T. A.
2003-01-01
For sp(n+2) and each exceptional Lie algebra a realization of depth 2 preserving the spaces spanned by a contact one-form and a bilinear form is given. For e_7 and e_6 a realization of depth 1 preserving a lightcone and the space spanned by a bilinear form is also presented. This makes the origin of the exceptions clear.
Gardner, B; Smith, L.; Lorencatto, F.; Hamer, M.; Biddle, S J H
2016-01-01
Sedentary behaviour – i.e., low energy-expending waking behaviour while seated or lying down – is a health risk factor, even when controlling for physical activity. This review sought to describe the behaviour change strategies used within interventions that have sought to reduce sedentary behaviour in adults. Studies were identified through existing literature reviews, a systematic database search, and hand-searches of eligible papers. Interventions were categorised as ‘very promising’, ‘qui...
Gardner, B; Smith, L.; Lorencatto, F.; Hamer, M.; Biddle, S J H
2015-01-01
Sedentary behaviour – i.e., low energy-expending waking behaviour while seated or lying down – is a health risk factor, even when controlling for physical activity. This review sought to describe the behaviour change strategies used within interventions that have sought to reduce sedentary behaviour in adults. Studies were identified through existing literature reviews, a systematic database search, and hand-searches of eligible papers. Interventions were categorised as ‘very promising’, ‘qui...
Constructions of Lie algebras and their modules
Seligman, George B
1988-01-01
This book deals with central simple Lie algebras over arbitrary fields of characteristic zero. It aims to give constructions of the algebras and their finite-dimensional modules in terms that are rational with respect to the given ground field. All isotropic algebras with non-reduced relative root systems are treated, along with classical anisotropic algebras. The latter are treated by what seems to be a novel device, namely by studying certain modules for isotropic classical algebras in which they are embedded. In this development, symmetric powers of central simple associative algebras, along with generalized even Clifford algebras of involutorial algebras, play central roles. Considerable attention is given to exceptional algebras. The pace is that of a rather expansive research monograph. The reader who has at hand a standard introductory text on Lie algebras, such as Jacobson or Humphreys, should be in a position to understand the results. More technical matters arise in some of the detailed arguments. T...
DEFF Research Database (Denmark)
Miglino, M A; Pereira, F T V; Visintin, J A;
2007-01-01
To elucidate the morphological differences between placentas from normal and cloned cattle pregnancies reaching term, the umbilical cord, placentomes and interplacentomal region of the fetal membranes were examined macroscopically as well as by light and scanning electron microscopy. In pregnancies...... of more than one primary villus, as opposed to a single villus in non-cloned placentae. Scanning electron microscopy of blood vessel casts revealed that there was also more than one stem artery per villous tree and that the ramification of the vessels failed to form dense complexes of capillary loops...
Tapp, Kristopher
2009-01-01
This expository article introduces the topic of roots in a compact Lie group. Compared to the many other treatments of this standard topic, I intended for mine to be relatively elementary, example-driven, and free of unnecessary abstractions. Some familiarity with matrix groups and with maximal tori is assumed. This article is self-contained, but is also intended to serve as a supplemental 10th chapter of an eventual new edition of my textbook, ``Matrix Groups for Undergraduates.''
ALGEBRAIC ANOSOV ACTIONS OF NILPOTENT LIE GROUPS
Barbot, Thierry; Maquera, Carlos
2013-01-01
40 pages International audience In this paper we classify algebraic Anosov actions of nilpotent Lie groups on closed manifolds, extending the previous results by P. Tomter. We show that they are all nil-suspensions over either suspensions of Anosov actions of Z^k on nilmanifolds, or (modified) Weyl chamber actions. We check the validity of the generalized Verjovsky conjecture in this algebraic context. We also point out an intimate relation between algebraic Anosov actions and Cartan su...
Simple Lie algebras and Dynkin diagrams
International Nuclear Information System (INIS)
The following theorem is studied: in a simple Lie algebra of rank p there are p positive roots such that all the other n-3p/2 positive roots are linear combinations of them with integer non negative coefficients. Dykin diagrams are built by representing the simple roots with circles and drawing a junction between the roots. Five exceptional algebras are studied, focusing on triple junction algebra, angular momentum algebra, weights of the representation, antisymmetric tensors, and subalgebras
Reaction Times and Deception - the Lying Constant
Martin R. Sheridan; Kenneth A. Flowers
2010-01-01
The cognitive theory of lie detection suggests that it takes longer on average to formulate a deliberately falseresponse than a truthful one because it requires the truth to first be known and then altered, adding an extracomponent to the response process. This concept was upheld in a modified form in three experiments wheresubjects indicated as quickly as possible whether presented numbers were higher or lower than a given standardnumber, and to “lie” (give the wrong answer deliberately) on ...
Classification of two and three dimensional Lie super-bialgebras
Eghbali, A; Rezaei-Aghdam, A
2009-01-01
Using adjoint representation of Lie superalgebras, we write the matrix form of super Jacobi and mixed super Jacobi identities of Lie super-bialgebras. Then through direct calculations of these identities and use of automorphism supergroups of two and three dimensional Lie superalgebras, we obtain and classify all two and three dimensional Lie super-bialgebras.
Dimension of the $c$-nilpotent multiplier of Lie algebras
Indian Academy of Sciences (India)
MEHDI ARASKHAN; MOHAMMAD REZA RISMANCHIAN
2016-08-01
The purpose of this paper is to derive some inequalities for dimension of the $c$-nilpotent multiplier of finite dimensional Lie algebras and their factor Lie algebras. We further obtain an inequality between dimensions of $c$-nilpotent multiplier of Lie algebra $L$ and tensor product of a central ideal by its abelianized factor Lie algebra
Classification of solvable 3-dimensional Lie triple systems
Bouetou, Thomas Bouetou
2003-01-01
We give the classification of solvable and splitting Lie triple system and it turn that, up to isomorphism there exist 7 non isomorphic canonical Lie triple systems and 6 non isomorphic splitting canonical Lie triple systems and find the solvable Lie algebras associated.
A Local Characterization of Lie Homomorphisms of Nest Algebras
Institute of Scientific and Technical Information of China (English)
YANG Miao-xia; ZHANG Jian-hua
2014-01-01
In this paper, linear maps preserving Lie products at zero points on nest algebras are studied. It is proved that every linear map preserving Lie products at zero points on any finite nest algebra is a Lie homomorphism. As an application, the form of a linear bijection preserving Lie products at zero points between two finite nest algebras is obtained.
International Nuclear Information System (INIS)
We make a detailed study of the Lie algebras un, n≥2, of triangular polynomial derivations, their injective limit u∞, and their completion u-hat ∞. We classify the ideals of un (all of which are characteristic ideals) and use this classification to give an explicit criterion for Lie factor algebras of un and um to be isomorphic. We introduce two new dimensions for (Lie) algebras and their modules: the central dimension c.dim and the uniserial dimension u.dim, and show that c.dim(un)=u.dim(un)=ωn−1+ωn−2+⋯+ω+1 for all n≥2, where ω is the first infinite ordinal. Similar results are proved for the Lie algebras u∞ and u-hat ∞. In particular, u.dim(u∞)=ωω and c.dim(u∞)=0
Lie algebra of conformal Killing-Yano forms
Ertem, Ümit
2016-01-01
We provide a generalization of the Lie algebra of conformal Killing vector fields to conformal Killing-Yano forms. A new Lie bracket for conformal Killing-Yano forms that corresponds to slightly modified Schouten-Nijenhuis bracket of differential forms is proposed. We show that conformal Killing-Yano forms satisfy a graded Lie algebra in constant curvature manifolds. It is also proven that normal conformal Killing-Yano forms in Einstein manifolds also satisfy a graded Lie algebra. The constructed graded Lie algebras reduce to the graded Lie algebra of Killing-Yano forms and the Lie algebras of conformal Killing and Killing vector fields in special cases.
Lie algebra of conformal Killing–Yano forms
Ertem, Ümit
2016-06-01
We provide a generalization of the Lie algebra of conformal Killing vector fields to conformal Killing–Yano forms. A new Lie bracket for conformal Killing–Yano forms that corresponds to slightly modified Schouten–Nijenhuis bracket of differential forms is proposed. We show that conformal Killing–Yano forms satisfy a graded Lie algebra in constant curvature manifolds. It is also proven that normal conformal Killing–Yano forms in Einstein manifolds also satisfy a graded Lie algebra. The constructed graded Lie algebras reduce to the graded Lie algebra of Killing–Yano forms and the Lie algebras of conformal Killing and Killing vector fields in special cases.
A quick proof of the classification of real Lie superalgebras
Ransingh, B.; Pati, K. C.
2012-01-01
This article classifies the real forms of Lie Superalgebra by Vogan diagrams, developing Borel and de Seibenthal theorem of semisimple Lie algebras for Lie superalgebras. A Vogan diagram is a Dynkin diagram of triplet $(\\mathfrak{g}_{C},\\mathfrak{h_{\\bar{0}}},\\triangle^{+})$, where $\\mathfrak{g}_{C}$ is a real Lie superalgebra, $\\mathfrak{h_{\\bar{0}}}$ cartan subalgebra, $\\triangle^{+}$ positive root system. Although the classification of real forms of contragradient Lie superalgebras is alre...
COMPLETE LIE ALGEBRAS WITH l-STEP NILPOTENT RADICALS
Institute of Scientific and Technical Information of China (English)
高永存; 孟道冀
2002-01-01
The authors first give a necessary and sufficient condition for some solvable Lie algebras with l-step nilpotent radicals to be complete, and then construct a new class of infinite dimensional complete Lie algebras by using the modules of simple Lie algebras. The quotient algebras of this new constructed Lie algebras are non-solvable complete Lie algebras with l-step nilpotent radicals.
Hemochromatosis in Salers cattle.
House, J K; Smith, B P; Maas, J; Lane, V M; Anderson, B C; Graham, T W; Pino, M V
1994-01-01
Two 2-year-old Salers cattle from different herds raised on pasture were evaluated for retarded growth and diarrhea. Increase of liver enzyme activities and prolonged sulfobromophothalein (BSP) half life (T1/2) indicated liver disease with impaired liver function. Histopathologic examination of liver biopsies revealed a micronodular cirrhosis with marked deposition of hemosiderin in hepatocytes, Kupffer cells, and arterioles. Transferrin saturation (TS) and liver iron content were markedly increased, consistent with a diagnosis of hemochromatosis. Both animals were euthanatized due to deterioration in their condition. Necropsy findings included hepatomegaly and hemosiderin accumulation in the liver, lymph nodes, pancreas, spleen, thyroid, kidney, brain and other glandular tissue. Continued surveillance of the second herd (serum iron, total iron binding capacity [TIBC], unsaturated iron binding capacity [UIBC], and TS), identified a heifer as a hemochromatosis suspect in a subsequent generation. Liver biopsies from that animal revealed the same histopathologic changes as the previous 2 animals, and similar increases in liver iron content (8,700 ppm, normal range 45 to 300 ppm). The 3 affected cattle were all products of line breeding programs and shared a common ancestor. The absence of dietary iron loading in conjunction with the histopathologic and metabolic findings were consistent with a diagnosis of primary hemochromatosis. The reported disease is similar to idiopathic hemochromatosis in human beings in which there is a hereditary defect in iron metabolism. PMID:8046672
Lie-isotopic generalization of the Poincare symmetry: Classical formulation
International Nuclear Information System (INIS)
This paper is devoted to the origin and methodology of the several phenomenological predictions of deviations from Einstein's Special Relativity and related Lorentz symmetry in the behaviour of the lifetime of unstable hadrons at different speeds, that exist in the literature since the early '60's. After reviewing the background phenomenological literature, we outline the Lie-isotopic symmetry of the emerging deformations of the Minkowski metric introduced in a preceding paper, and extend the results to the construction of the full Poincare-isotopic symmetry. The local isomorphism of the Poincare-isotopic symmetry with the conventional symmetry is proved for all possible topology-preserving deformations of the Minkowski metric. In this way we establish that the phenomenological predictions of deviations recalled earlier must be specifically referred to Einstein's Special Relativity, but they cannot be referred to the Lorentz (or to the Poincare) symmetry which remains exact. Particular attention is devoted to the proof of the compatibility of the exact validity of the Special Relativity for the center-of-mass trajectory of a hadron in a particle accelerator, with conceivable deviations from the same relativity in the interior structural problem. For completeness, the analysis is complemented with a few remarks on the gravitational profile. First, we review the pioneering Lie-isotopic generalization of Einstein's Gravitation worked out by Gasperini, which possesses precisely a locally Lorentz-isotopic structure. We then restrict this theory to the interior gravitational problem in order to achieve compatibility with the particle setting. The paper concludes with a review of the need to finally conduct direct experimental measures of the lifetime of unstable hadrons at different speeds, in order to finally resolve whether Einsteins's Special and General Relativities are locally valid in the interior of hadrons, or structurally more general relativities must be worked
Neeleman, J
2001-01-01
-Prevention of suicidal behaviour remains difficult, despite increasing knowledge of its determinants. Health service efforts hardly affect suicide rates. -Recent shifts in the epidemiology of suicidal behaviour are rising rates among the young and increasing use of violent methods. these can be lin
Anaerobic oxidation of methane in grassland soils used for cattle husbandry
Czech Academy of Sciences Publication Activity Database
Bannert, A.; Bogen, C.; Esperschütz, J.; Koubová, Anna; Buegger, F.; Fischer, D.; Radl, V.; Fuss, R.; Chroňáková, Alica; Elhottová, Dana; Šimek, Miloslav; Schloter, M.
2012-01-01
Roč. 9, č. 10 (2012), s. 3891-3899. ISSN 1726-4170 R&D Projects: GA ČR GA526/09/1570 Institutional support: RVO:60077344 Keywords : anaerobic oxidation of methane * grassland soils * cattle husbandry Subject RIV: EH - Ecology, Behaviour Impact factor: 3.754, year: 2012
Czech Academy of Sciences Publication Activity Database
Chroňáková, Alica; Radl, V.; Čuhel, Jiří; Gattinger, A.; Šimek, Miloslav; Elhottová, Dana; Schloter, M.
Uppsala : Swedish University of Agriculture Sciences, 2007. [Achievements of COST 856. Denitrification and related aspects. Final meeting of the ESF COST Action 856 /14./. 05.12.2007-08.12.2007, Uppsala] Institutional research plan: CEZ:AV0Z60660521 Keywords : cattle activities * nitrifying and denitrifying microbial communities * upland soil Subject RIV: EH - Ecology, Behaviour
Czech Academy of Sciences Publication Activity Database
Šimek, Miloslav; Hynšt, Jaroslav; Brůček, Petr; Čuhel, Jiří; Elhottová, Dana
As: Norwegian University of Life Sciences (UMB), 2006. s. 10. [COST Action 856, Ecological Aspects of Denitrification, with Emphasis on Agriculture . Workshop 10, Denitrification - systems biology approaches. 05.10.2006-07.10.2006, As] Institutional research plan: CEZ:AV0Z60660521 Keywords : cattle overwintering area * soil nitrogen transformation processes * soil carbon transformation processes Subject RIV: EH - Ecology, Behaviour
Fungal community in animal-impacted soils at the cattle overwintering area
Czech Academy of Sciences Publication Activity Database
Jirout, J.; Elhottová, Dana; Šimek, Miloslav
Edinburgh : British Mycological Society, 2010. [International Mycological Congress , The Biology of Fungi /9./. 01.08.2010-06.08.2010, Edinburgh] R&D Projects: GA MŠk LC06066; GA AV ČR IAA600660605 Institutional research plan: CEZ:AV0Z60660521 Keywords : fungal community * animal-impacted soils * cattle overwintering area Subject RIV: EH - Ecology, Behaviour
Czech Academy of Sciences Publication Activity Database
Chroňáková, Alica; Schloter-Hai, B.; Radl, V.; Endesfelder, D.; Quince, Ch.; Elhottová, Dana; Šimek, Miloslav; Schloter, M.
2015-01-01
Roč. 10, č. 8 (2015), e0135627. E-ISSN 1932-6203 R&D Projects: GA MŠk LC06066; GA ČR GA526/09/1570; GA MŠk(CZ) LD13046 Institutional support: RVO:60077344 Keywords : archaea * bacteria * soil * outdoor cattle overwintering Subject RIV: EH - Ecology, Behaviour Impact factor: 3.234, year: 2014
Nitrous oxide emissions from grazed grassland: effects of cattle management and soil conditions
Czech Academy of Sciences Publication Activity Database
Petersen, S. O.; Šimek, Miloslav; Stamatiadis, S.; Yamulki, S.
Leipzig : Institute for Energy and Environment, 2004, s. 75-78. [Greenhouse Gas Emissions from Agriculture Mitigation Options and Strategies. Leipzig (DE), 10.02.2004-12.02.2004] Institutional research plan: CEZ:AV0Z6066911 Keywords : nitrous oxide emissions * grazed grassland * cattle management Subject RIV: EH - Ecology, Behaviour
Nitrous oxide production by fungi isolated from cattle-disturbed upland soil
Czech Academy of Sciences Publication Activity Database
Jirout, Jiří; Šimek, Miloslav; Elhottová, Dana
Dundee : British Mycological Society, 2009. s. 27. [The Fungal Cell. 01.09.2009-04.09.2009, Dundee] Institutional research plan: CEZ:AV0Z60660521 Keywords : nitrous oxide production * fungi * cattle-disturbed upland soil Subject RIV: EH - Ecology, Behaviour
Lorentz transformations as Lie-Poisson symmetries
Simoni, A; Yakushin, I; Simoni, A; Stern, A; Yakushin, I
1995-01-01
We write down the Poisson structure for a relativistic particle where the Lorentz group does not act canonically, but instead as a Poisson-Lie group. In so doing we obtain the classical limit of a particle moving on a noncommutative space possessing SL_q(2,C) invariance. We show that if the standard mass shell constraint is chosen for the Hamiltonian function, then the particle interacts with the space-time. We solve for the trajectory and find that it originates and terminates at singularities.
Enveloping algebras of some quantum Lie algebras
Pourkia, Arash
2014-01-01
We define a family of Hopf algebra objects, $H$, in the braided category of $\\mathbb{Z}_n$-modules (known as anyonic vector spaces), for which the property $\\psi^2_{H\\otimes H}=id_{H\\otimes H}$ holds. We will show that these anyonic Hopf algebras are, in fact, the enveloping (Hopf) algebras of particular quantum Lie algebras, also with the property $\\psi^2=id$. Then we compute the braided periodic Hopf cyclic cohomology of these Hopf algebras. For that, we will show the following fact: analog...
Integrable quantum systems and classical Lie algebras
International Nuclear Information System (INIS)
Six new infinite series of trigonometric solutions to triangule equations (quantum R-matrices) associated with the nonexceptional simple Lie algebras: sl(N), sp(N), o(N) have been obtained. R-matrices are given in two equivalent representations: in an additive one (as a sum of poles with matrix coefficients) and in a multiplicative one (as a ratio of entire matrix functions). These R-matrices provide an exact integrability of anisotropic generalizations of sl(N), sp(N), o(N) invariant one-dimensional lattice magnetics and two-dimensional periodic Toda lattices associated with the above algebras
The graded Lie algebra of general relativity
Reiterer, Michael
2014-01-01
We construct a graded Lie algebra in which a solution to the vacuum Einstein equations is any element of degree 1 whose bracket with itself is zero. Each solution generates a cochain complex, whose first cohomology is linearized gravity about that solution. We gauge-fix to get a smaller cochain complex with the same cohomologies (deformation retraction). The new complex is much smaller, it consists of the solution spaces of linear homogeneous wave equations (symmetric hyperbolic equations). The algorithm that produces these gauges and wave equations is both for linearized gravity and the full Einstein equations. The gauge groupoid is the groupoid of rank 2 complex vector bundles.
International Nuclear Information System (INIS)
A commercially available radioimmunoassay kit for human serum ferritin was used to determine the ferritin concentration in serum or plasma of 41 calves from 0 to 106 days of age, 192 cows and 35 bulls from 2 to 11 years of age. The geometric average concentration of ferritin was 2.1, 12.6 and 4.5 ng/ml for the calves, cows and bulls, respectively. The cows were statistically different from the calves and bulls; there were no differences between the calves and bulls. Within the cows one herd was found to have lower serum ferritin levels than all the other herds (P < 0.05) but no differences in packed cell volumes were present. The data suggest that a radioimmunoassay procedure with a ferritin antibody specific for bovine ferritin could be useful in the study of iron metabolism in cattle. (author)
Induced Modules for Affine Lie Algebras
Directory of Open Access Journals (Sweden)
Vyacheslav Futorny
2009-03-01
Full Text Available We study induced modules of nonzero central charge with arbitrary multiplicities over affine Lie algebras. For a given pseudo parabolic subalgebra P of an affine Lie algebra G, our main result establishes the equivalence between a certain category of P-induced G-modules and the category of weight P-modules with injective action of the central element of G. In particular, the induction functor preserves irreducible modules. If P is a parabolic subalgebra with a finite-dimensional Levi factor then it defines a unique pseudo parabolic subalgebra P^{ps}, P subset P^{ps}. The structure of P-induced modules in this case is fully determined by the structure of P^{ps}-induced modules. These results generalize similar reductions in particular cases previously considered by V. Futorny, S. König, V. Mazorchuk [Forum Math. 13 (2001, 641-661], B. Cox [Pacific J. Math. 165 (1994, 269-294] and I. Dimitrov, V. Futorny, I. Penkov [Comm. Math. Phys. 250 (2004, 47-63].
Warren, Kelly L; Dodd, Elyse; Raynor, Graham; Peterson, Carole
2012-01-01
In this investigation, 514 university students judged whether children were telling the truth about highly emotional events. Eight children (half female, half 8-9 and the remainder 12-14 years old) had been injured seriously enough to require emergency room treatment and were interviewed a few days later. Each was yoked to three other children matched in age and gender who fabricated accounts under one of three conditions: lies that were unprepared, prepared (24 hours to prepare), and coached by parents. Participants were at chance when judging true accounts as well as unprepared and prepared lies. However, 74% of the coached lies were judged as true. Participants' confidence in their judgments, age, experience with children, and relevant coursework/training did not improve judgments. PMID:22566366
Uncertainty Principles on Two Step Nilpotent Lie Groups
Indian Academy of Sciences (India)
S K Ray
2001-08-01
We extend an uncertainty principle due to Cowling and Price to two step nilpotent Lie groups, which generalizes a classical theorem of Hardy. We also prove an analogue of Heisenberg inequality on two step nilpotent Lie groups.
Construction of Difference Equations Using Lie Groups
International Nuclear Information System (INIS)
The theory of prolongations of the generators of groups of point transformations to the grid point values of dependent variables and grid spacings is developed and applied to the construction of group invariant numerical algorithms. The concepts of invariant difference operators and generalized discrete sources are introduced for the discretization of systems of inhomogeneous differential equations and shown to produce exact difference equations. Invariant numerical flux functions are constructed from the general solutions of first order partial differential equations that come out of the evaluation of the Lie derivatives of conservation forms of difference schemes. It is demonstrated that invariant numerical flux functions with invariant flux or slope limiters can be determined to yield high resolution difference schemes. The introduction of an invariant flux or slope limiter can be done so as not to break the symmetry properties of a numerical flux-function
Operator of Calogero and Lie superalgebra
International Nuclear Information System (INIS)
The superanalogue of the SL Calogero operator, depending on the k parameter is plotted. It is connected with the system of the Lie superalgebra gl(n|m) roots. For the m = 0 this is the general Calogero operator and for the m = 1, with the accuracy up to replacing the variables and the k parameter, this is the operator plotted by Veselov, Chalykh and Fejgin. For the k = 1, 1/2 the SL operator is the radial part of the Laplace second order operator for the symmetrical superspaces. It is shown that the Jack polynomial superanalogues, plotted at any m and n by Kerov, Okunkov and Olshanskij, are the Eigen functions of the SL operator. The Jack polynomial superanalogues for the k = 1, 1/2 coincide with spherical functions on the superspaces. The algebraic analogue of the Berezin integral is also studied
Simple Lie groups without the approximation property
DEFF Research Database (Denmark)
Haagerup, Uffe; de Laat, Tim
2013-01-01
For a locally compact group G, let A(G) denote its Fourier algebra, and let M0A(G) denote the space of completely bounded Fourier multipliers on G. The group G is said to have the Approximation Property (AP) if the constant function 1 can be approximated by a net in A(G) in the weak-∗ topology...... on the space M0A(G). Recently, Lafforgue and de la Salle proved that SL(3,R) does not have the AP, implying the first example of an exact discrete group without it, namely, SL(3,Z). In this paper we prove that Sp(2,R) does not have the AP. It follows that all connected simple Lie groups with finite center...
M2-branes, 3-Lie algebras and Pluecker relations
International Nuclear Information System (INIS)
We find that the structure constants 4-form of a metric 3-Lie algebra is the sum of the volume forms of orthogonal 4-planes proving a conjecture in math/0211170. In particular, there is no metric 3-Lie algebra associated to a u(N) Lie algebra for N>2. We examine the implication of this result on the existence of a multiple M2-brane theory based on metric 3-Lie algebras.
Twisted Hamiltonian Lie Algebras and Their Multiplicity-Free Representations
Institute of Scientific and Technical Information of China (English)
Ling CHEN
2011-01-01
We construct a class of new Lie algebras by generalizing the one-variable Lie algebras generated by the quadratic conformal algebras (or corresponding Hamiltonian operators) associated with Poisson algebras and a quasi-derivation found by Xu. These algebras can be viewed as certain twists of Xu's generalized Hamiltonian Lie algebras. The simplicity of these algebras is completely determined. Moreover, we construct a family of multiplicity-free representations of these Lie algebras and prove their irreducibility.
Homogeneous conformal averaging operators on semisimple Lie algebras
Kolesnikov, Pavel
2014-01-01
In this note we show a close relation between the following objects: Classical Yang---Baxter equation (CYBE), conformal algebras (also known as vertex Lie algebras), and averaging operators on Lie algebras. It turns out that the singular part of a solution of CYBE (in the operator form) on a Lie algebra $\\mathfrak g$ determines an averaging operator on the corresponding current conformal algebra $\\mathrm{Cur} \\mathfrak g$. For a finite-dimensional semisimple Lie algebra $\\mathfrak g$, we desc...
Detecting Children's Lies: Are Parents Accurate Judges of Their Own Children's Lies?
Talwar, Victoria; Renaud, Sarah-Jane; Conway, Lauryn
2015-01-01
The current study investigated whether parents are accurate judges of their own children's lie-telling behavior. Participants included 250 mother-child dyads. Children were between three and 11 years of age. A temptation resistance paradigm was used to elicit a minor transgressive behavior from the children involving peeking at a forbidden toy and…
Lie elements in pu-Lie algebras, trees and cohomology operators
Czech Academy of Sciences Publication Activity Database
Markl, Martin
2007-01-01
Roč. 17, č. 2 (2007), s. 241-261. ISSN 0949-5932 R&D Projects: GA ČR(CZ) GA201/05/2117 Institutional research plan: CEZ:AV0Z10190503 Keywords : cohomology operations * pu-Lie algebras * Chevalley-Eilenberg complex Subject RIV: BA - General Mathematics Impact factor: 0.367, year: 2007
Lie-algebraic symmetries of generalized Davey-Stewartson equations
International Nuclear Information System (INIS)
We identify the full Lie-algebraic structure of the generalized Davey-Stewartson (GDS) system of equations with symmetries of a specific of continual Lie algebras. In particular, we show that they are related to two copies of the Poisson bracket continual Lie algebra.
Norm Continuous Unitary Representations of Lie Algebras of Smooth Sections
Neeb, Karl-Hermann; Janssens, Bas
2015-01-01
Let K→X be a smooth Lie algebra bundle over a σ-compact manifold X whose typical fiber is the compact Lie algebra k. We give a complete description of the irreducible bounded (i.e., norm continuous) unitary representations of the Frechet–Lie algebra Γ(K) of all smooth sections of K, and of the LF-Li
Accurately Detecting Students' Lies regarding Relational Aggression by Correctional Instructions
Dickhauser, Oliver; Reinhard, Marc-Andre; Marksteiner, Tamara
2012-01-01
This study investigates the effect of correctional instructions when detecting lies about relational aggression. Based on models from the field of social psychology, we predict that correctional instruction will lead to a less pronounced lie bias and to more accurate lie detection. Seventy-five teachers received videotapes of students' true denial…
33 CFR 401.92 - Wintering and lying-up.
2010-07-01
... 33 Navigation and Navigable Waters 3 2010-07-01 2010-07-01 false Wintering and lying-up. 401.92... OF TRANSPORTATION SEAWAY REGULATIONS AND RULES Regulations General § 401.92 Wintering and lying-up. No vessel shall winter within the Seaway or lie-up within the Seaway during the navigation...
$L_{\\infty}$ algebra structures of Lie algebra deformations
Gao, Jining
2004-01-01
In this paper,we will show how to kill the obstructions to Lie algebra deformations via a method which essentially embeds a Lie algebra into Strong homotopy Lie algebra or $L_{\\infty}$ algebra. All such obstructions have been transfered to the revelvant $L_{\\infty}$ algebras which contain only three terms
Why do lie-catchers fail? A lens model meta-analysis of human lie judgments.
Hartwig, Maria; Bond, Charles F
2011-07-01
Decades of research has shown that people are poor at detecting lies. Two explanations for this finding have been proposed. First, it has been suggested that lie detection is inaccurate because people rely on invalid cues when judging deception. Second, it has been suggested that lack of valid cues to deception limits accuracy. A series of 4 meta-analyses tested these hypotheses with the framework of Brunswik's (1952) lens model. Meta-Analysis 1 investigated perceived cues to deception by correlating 66 behavioral cues in 153 samples with deception judgments. People strongly associate deception with impressions of incompetence (r = .59) and ambivalence (r = .49). Contrary to self-reports, eye contact is only weakly correlated with deception judgments (r = -.15). Cues to perceived deception were then compared with cues to actual deception. The results show a substantial covariation between the 2 sets of cues (r = .59 in Meta-Analysis 2, r = .72 in Meta-Analysis 3). Finally, in Meta-Analysis 4, a lens model analysis revealed a very strong matching between behaviorally based predictions of deception and behaviorally based predictions of perceived deception. In conclusion, contrary to previous assumptions, people rarely rely on the wrong cues. Instead, limitations in lie detection accuracy are mainly attributable to weaknesses in behavioral cues to deception. The results suggest that intuitive notions about deception are more accurate than explicit knowledge and that lie detection is more readily improved by increasing behavioral differences between liars and truth tellers than by informing lie-catchers of valid cues to deception. PMID:21707129
Evidence of Cryptococcosis in cattle in Zaria Kaduna state, Nigeria
Directory of Open Access Journals (Sweden)
Emmanuella N. Akange
2013-04-01
Full Text Available Aim: Cryptococcosis is azoonotic infection caused by fungal of the Cryptococcus neoformans complex comprising of C. neoformans and C. gattii.The disease affects humans and animals worldwide causing morbidity and mortality. This work was carried out to determine the occurrence of cryptococcal antigens and factors associated with presence of antigens in cattle in Zaria, Nigeria. Materials and Methods: Three hundred and ninety (390 serum samples from cattle of various ages were collected from 11 farms in Zaria, Nigeria. The samples were analysed using alatex agglutination test and lateral flow assay kit which detectsthe polysaccharide capsular antigens of Cryptococcus species. Results:Out of the 390 samples tested 28 (7.17% were found to be positive using the latex agglutination test while only of these 22 (5.64% were positive using the lateral flow assay. There was a strong correlation (r=0.939, p=0.0002 between the results of the latex agglutination test and the lateral flow assay. There was no statistically significant difference (p>0.005 in positivity for cryptococcal antigens between sex, age and sex, though, there was a statistically significant difference (p<0.05 in positivity between management systems i.e. semi-intensive and intensive farming systems. Conclusions: The epidemiological value of this report lies in its demonstration that the risk of cattle and humans infection with cryptococcosis exist in farms in Zaria. The presence of this pathogen among these cattle poses an economic threat to the livestock industry due to the mastitis it causes. It also poses a significant public health threat because of its zoonotic nature and the increasing population of immunocompromised individuals. Large scale studies to determine specific risk factors and the role of the environment and experimental studies to determine what governs the transition from nasal colonisation to infection are recommended. [Vet World 2013; 6(2.000: 64-67
De Nicola, Antonio; Padron, Edith
2011-01-01
We show how to reduce, under certain regularities conditions, a Poisson-Nijenhuis Lie algebroid to a symplectic-Nijenhuis Lie algebroid with nondegenerate Nijenhuis tensor. We generalize the work done by Magri and Morosi for the reduction of Poisson-Nijenhuis manifolds. The choice of the more general framework of Lie algebroids is motivated by the geometrical study of some reduced bi-Hamiltonian systems. An explicit example of reduction of a Poisson-Nijenhuis Lie algebroid is also provided.
2010-01-01
... directly to slaughter from a State designated as a Class Free State in 9 CFR 78.41; (vi) Cattle exported to... age; (iii) Steers and spayed heifers; (iv) Cattle exported directly to slaughter in a country that...
Automorphisms of Strong Homotopy Lie Algebras of Local Observables
Ritter, Patricia
2015-01-01
There is a well-established procedure of assigning a strong homotopy Lie algebra of local observables to a multisymplectic manifold which can be regarded as part of a categorified Poisson structure. For a 2-plectic manifold, the resulting Lie 2-algebra is isomorphic to a sub Lie 2-algebra of a natural Lie 2-algebra structure on an exact Courant algebroid. We generalize this statement to arbitrary n-plectic manifolds and study automorphisms on the arising Lie n-algebras. Our observations may be useful in studying the quantization problem on multisymplectic manifolds.
Electrical stunning of cattle.
Wotton, S B; Gregory, N G; Whittington, P E; Parkman, I D
2000-12-01
Cattle are normally stunned electrically by three sequential cycles, first a three-second head-only cycle, to stun the animal, secondly a 15-second cardiac cycle, to induce ventricular fibrillation (cardiac arrest), and thirdly a four-second discharge cycle, to reduce convulsions after death. An effective and immediate stun was produced when > or =1.15 amps sinusoidal AC at 50 Hz was applied between the nose and neck electrodes for less than one second. However, when applied for three seconds, head-only currents of >0.46 amp sinusoidal AC at 50 Hz were sufficient to induce epileptiform activity in the brain, identified as high amplitude low frequency activity in the electroencephalogram. The induction of effective head-only electrical stunning resulted in an average interval of 50 seconds before the return of rhythmic breathing movements, and positive corneal and palpebral reflexes. The cardiac arrest cycle successfully induced ventricular fibrillation when >1.51 amps sinusoidal AC at 50 Hz was applied for five seconds between the nose and brisket electrodes. PMID:11132673
Zinc deficiency (hypozincemia) in local Iraqi cattle
Kamal M. Alsaad,; H. I. Al-Sadi,; Osama A.Abdulla
2011-01-01
Clinical, hematological, pathological and some biochemical parameters have been studied in local cattle and calves affected naturally with hypozincemia in Mosul, Iraq. The study was conducted on 78 local Iraqi cattle and calves, among these animals, 30 calves were less than six months of age and 38 animals were more than three years old. Ten clinical healthy cattle of different ages were used as control. Affected cattle showed signs of alopecia in different body regions (73.6%), abnormal skin...
Pro-Lie Groups: A Survey with Open Problems
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Karl H. Hofmann
2015-07-01
Full Text Available A topological group is called a pro-Lie group if it is isomorphic to a closed subgroup of a product of finite-dimensional real Lie groups. This class of groups is closed under the formation of arbitrary products and closed subgroups and forms a complete category. It includes each finite-dimensional Lie group, each locally-compact group that has a compact quotient group modulo its identity component and, thus, in particular, each compact and each connected locally-compact group; it also includes all locally-compact Abelian groups. This paper provides an overview of the structure theory and the Lie theory of pro-Lie groups, including results more recent than those in the authors’ reference book on pro-Lie groups. Significantly, it also includes a review of the recent insight that weakly-complete unital algebras provide a natural habitat for both pro-Lie algebras and pro-Lie groups, indeed for the exponential function that links the two. (A topological vector space is weakly complete if it is isomorphic to a power RX of an arbitrary set of copies of R. This class of real vector spaces is at the basis of the Lie theory of pro-Lie groups. The article also lists 12 open questions connected to pro-Lie groups.
M2-branes, 3-Lie Algebras and Plucker relations
Papadopoulos, G
2008-01-01
We solve the Jacobi identity of metric 3-Lie algebras for which an associated Lie algebra either does not admit bi-invariant 4-forms or it is the sum of up to three abelian directions and a semi-simple Lie algebra. In all cases, we find that the structure constants of the metric 3-Lie algebras are sums of orthogonal simple 4-forms verifying a conjecture in math/0211170. In particular, there is no metric 3-Lie algebra associated to a $\\mathfrak{u}(N)$ Lie alebra for $N>2$. We examine the implication of this result on the existence of a multiple M2-brane theory based on metric 3-Lie algebras.
Polytope expansion of Lie characters and applications
Energy Technology Data Exchange (ETDEWEB)
Walton, Mark A., E-mail: walton@uleth.ca [Department of Physics and Astronomy, University of Lethbridge, Lethbridge, Alberta T1K 3M4 (Canada)
2013-12-15
The weight systems of finite-dimensional representations of complex, simple Lie algebras exhibit patterns beyond Weyl-group symmetry. These patterns occur because weight systems can be decomposed into lattice polytopes in a natural way. Since lattice polytopes are relatively simple, this decomposition is useful, in addition to being more economical than the decomposition into single weights. An expansion of characters into polytope sums follows from the polytope decomposition of weight systems. We study this polytope expansion here. A new, general formula is given for the polytope sums involved. The combinatorics of the polytope expansion are analyzed; we point out that they are reduced from those of the Weyl character formula (described by the Kostant partition function) in an optimal way. We also show that the weight multiplicities can be found easily from the polytope multiplicities, indicating explicitly the equivalence of the two descriptions. Finally, we demonstrate the utility of the polytope expansion by showing how polytope multiplicities can be used in the calculation of tensor product decompositions, and subalgebra branching rules.
Moving Picture, Lying Image: Unreliable Cinematic Narratives
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Csönge Tamás
2015-08-01
Full Text Available By coining the term “unreliable narrator” Wayne Booth hypothesized another agent in his model besides the author, the implicit author, to explain the double coding of narratives where a distorted view of reality and the exposure of this distortion are presented simultaneously. The article deals with the applicability of the concept in visual narratives. Since unreliability is traditionally considered to be intertwined with first person narratives, it works through subjective mediators. According to scholarly literature on the subject, the narrator has to be strongly characterized, or in other words, anthropomorphized. In the case of film, the main problem is that the narrator is either missing or the narration cannot be attributed entirely to them. There is a medial rupture where the apparatus mediates the story instead of a character’s oral or written discourse. The present paper focuses on some important but overlooked questions about the nature of cinematic storytelling through a re-examination of |the lying flashback in Alfred Hitchcock's Stage Fright. Can a character-narrator control the images the viewer sees? How can the filmic image still be unreliable without having an anthropomorphic narrator? How useful is the term focalization when we are dealing with embedded character-narratives in film?
Computing Multiplicities of Lie Group Representations
Christandl, Matthias; Walter, Michael
2012-01-01
For fixed compact connected Lie groups H \\subseteq G, we provide a polynomial time algorithm to compute the multiplicity of a given irreducible representation of H in the restriction of an irreducible representation of G. Our algorithm is based on a finite difference formula which makes the multiplicities amenable to Barvinok's algorithm for counting integral points in polytopes. The Kronecker coefficients of the symmetric group, which can be seen to be a special case of such multiplicities, play an important role in the geometric complexity theory approach to the P vs. NP problem. Whereas their computation is known to be #P-hard for Young diagrams with an arbitrary number of rows, our algorithm computes them in polynomial time if the number of rows is bounded. We complement our work by showing that information on the asymptotic growth rates of multiplicities in the coordinate rings of orbit closures does not directly lead to new complexity-theoretic obstructions beyond what can be obtained from the moment po...
Energy Technology Data Exchange (ETDEWEB)
DeWalt, B.R.
1983-01-01
World population growth is causing a trend for less-developed countries to become food importers because of short-sighted agricultural practices and land-use policies. Honduras illustrates how population growth pushes farming onto marginal lands. The land used to grow tropical fruit for export is shifting to pasture where cattle are raised for export. Improved transportation links are accelerating this shift. The results of slash-and-mulch cultivation has been to diminish forest and fallow land. Although the short-term effects benefit the landless as well as the land owners, a new class of migrant worker is finding unemployment on the rise, and local populations must compete with cattle for food because the cattle are sold to international meat processors. 17 references. (DCK)
Dobrev, V K
2013-01-01
In the present paper we continue the project of systematic construction of invariant differential operators for non-compact semisimple Lie groups. Our starting points is the class of algebras, which we call 'conformal Lie algebras' (CLA), which have very similar properties to the conformal algebras of Minkowski space-time, though our aim is to go beyond this class in a natural way. For this we introduce the new notion of {\\it parabolic relation} between two non-compact semisimple Lie algebras g and g' that have the same complexification and possess maximal parabolic subalgebras with the same complexification. Thus, we consider the exceptional algebra E_{7(7)} which is parabolically related to the CLA E_{7(-25)}, the parabolic subalgebras including E_{6(6)} and E_{6(-6)} . Other interesting examples are the orthogonal algebras so(p,q) all of which are parabolically related to the conformal algebra so(n,2) with p+q=n+2, the parabolic subalgebras including the Lorentz subalgebra so(n-1,1) and its analogs so(p-1,...
Generalised glycogenosis in Brahman cattle.
O'Sullivan, B M; Healy, P J; Fraser, I R; Nieper, R E; Whittle, R J; Sewell, C A
1981-05-01
Generalised glycogenosis was diagnosed in Brahman cattle on 4 Queensland properties on the basis of clinical observations and pathological and biochemical findings. The disease presented as a problem of ill-thrift and poor growth rate in calves which eventually showed nervous signs. Histologically there was vacuolation in the cells of the central nervous system, heart and muscular tissues. Biochemical assay of liver and blood mononuclear cells demonstrated a deficiency of alpha-glucosidase. Parents of affected calves had approximately half the alpha-glucosidase activity of that found in normal cattle. PMID:6945845
Directory of Open Access Journals (Sweden)
Gelson dos Santos Difante
2009-06-01
Full Text Available The objective of this experiment was to evaluate the ingestive behaviour, herbage intake and grazing efficiency of beef cattle steers grazing on Panicum maximum Jacq. cv. Tanzania subjected to different rotational stocking intensities. Treatments corresponded to two post-grazing conditions (residues of 25 and 50 cm associated with a pre-grazing condition of 95% sward canopy light interception during regrowth (LI. The grazing time increased linearly with the duration of the occupation period (475 to 630 minutes/day. On paddocks grazed down to a residue of 25 cm, the bite rate increased linearly along the occupation period, with an average of 42.5 bites/minute. On paddocks grazed down to a residue of 50 cm, the bite rate was stable and equal to 39 bites/minute. There was no difference in herbage intake between grazing intensities. However, grazing at 25 cm residue resulted in greater herbage removal (68.0 vs. 45.6% and greater grazing efficiency (90.4 vs. 49.8% than grazing at 50 cm residue. Post-grazing residues of Tanzania guineagrass under rotational stocking management may be set at either 25 or 50 cm, since the herbage intake was not affected within this grazing intensity range. However, herbage removal and grazing efficiency were reduced with the 50 cm post-grazing height and grazing time increased with long occupation periods.O objetivo neste trabalho foi avaliar o comportamento ingestivo, o consumo e a eficiência de pastejo de novilhos em pastos de Panicum maximum Jacq. cv. Tanzânia submetidos a diversas intensidades de pastejo rotativo. Os tratamentos corresponderam a duas condições de pós-pastejo (25 e 50 cm associadas a uma condição de pré-pastejo (95% de interceptação da luz incidente dossel forrageiro. O tempo de pastejo aumentou linearmente com o período de ocupação (475 a 630 minutos/dia. Em piquetes manejados com resíduo de 25 cm, a taxa de bocados aumentou linearmente ao longo do período de ocupação, com média de
Pass-Through in United States Beef Cattle Prices
Huan Zhao; Xiaodong Du; Hennessy, David A.
2009-01-01
Feeder cattle are fattened to become fed live cattle six months later. The U.S. feeder cattle industry is intensively competitive, so that market efficiency suggests feeder cattle prices should fully reflect feed prices and information on future fed cattle prices. Employing a long time series (1979-2004) of feeder cattle futures, live cattle futures, and local corn prices, we test whether complete pass-through occurs. The results indicate that an increase of a dollar per hundred pounds in the...
International Nuclear Information System (INIS)
The interest in the thermal behaviour of the fuel mainly comes from the safety criterion which prohibit any fuel melting in the pins. Due to the gap lying between fuel and cladding, the highest temperatures are most probably occurring at Beginning Of Life (BOL) before completion of the central hole formation and before any substantial gap closure has taken place. However it cannot be ruled out that after some burn up the thermal transfer between fuel and cladding becomes worse than it was at BOL Then if the power does not decrease the maximum temperature might become higher than at (BOL). In order to get an overall experimental validation of our thermal calculations we need to cover the entire range of the pin life. Actually the method cannot be the same for BOL and end of life (EOL). For BOL it is possible to get a direct thermal measure through thermocouples, but this method is no longer practical after some days due to the failure of the thermocouples under neutrons flux at the temperatures of interest. This failure may happen before or after complete gap closure is reached and the rate of gap closure is especially meaningful for the BOL thermal behaviour. Another aspect of the thermal behaviour is the statistical one which may be obtained by the post-irradiation examination of the fuel microstructure, although it is not a proper way to get the absolute temperatures in the fuel, it is one of the most direct ones to have an insight in fuel thermal dispersion at BOL and over-heating at EOL
Characterization of Genetic Variation in Icelandic Cattle
DEFF Research Database (Denmark)
Holm, Lars-Erik; Das, Ashutosh; Momeni, Jamal; Panitz, Frank; Bendixen, Christian; Eythorsdottir, Emma
Identification of genetic variation in cattle breeds using next-generation sequencing technology has focused on the modern production cattle breeds. We focused on one of the oldest indigenous breeds, the Icelandic cattle breed. Sequencing of two individuals enabled identification of more than 8...... million SNPs and more than one million short indels. Annotation of the genetic variants identified a substantial number of functional SNPs and variants. The number of genetic variants identified in the Icelandic cattle breed is on the same level as previously seen in other studies on Holstein cattle...
Lie transforms and their use in Hamiltonian perturbation theory
International Nuclear Information System (INIS)
A review is presented of the theory of Lie transforms as applied to Hamiltonian systems. We begin by presenting some general background on the Hamiltonian formalism and by introducing the operator notation for canonical transformations. We then derive the general theory of Lie transforms. We derive the formula for the new Hamiltonian when one uses a Lie transform to effect a canonical transformation, and we use Lie transforms to prove a very general version of Noether's theorem, or the symmetry-equals-invariant theorem. Next we use the general Lie transform theory to derive Deprit's perturbation theory. We illustrate this perturbation theory by application to two well-known problems in classical mechanics. Finally we present a chapter on conventions. There are many ways to develop Lie transforms. The last chapter explains the reasons for the choices made here
Irreducible Lie-Yamaguti algebras of Generic Type
Benito, Pilar; Martin-Herce, Fabian
2009-01-01
Lie-Yamaguti algebras (or generalized Lie triple systems) are binary-ternary algebras intimately related to reductive homogeneous spaces. The Lie-Yamaguti algebras which are irreducible as modules over their inner derivation algebras are the algebraic counterpart of the isotropy irreducible homogeneous spaces. These systems splits into three disjoint types: adjoint type, non-simple type and generic type. The systems of the first two types were classified in a previous paper through a generalized Tits Construction of Lie algebras. In this paper, the Lie-Yamaguti algebras of generic type are classified by relating them to several other nonassociative algebraic systems: Lie and Jordan algebras and triple systems, Jordan pairs or Freudenthal triple systems.
Invariants of Lie algebras with fixed structure of nilradicals
International Nuclear Information System (INIS)
An algebraic algorithm is developed for computation of invariants ('generalized Casimir operators') of general Lie algebras over the real or complex number field. Its main tools are the Cartan's method of moving frames and the knowledge of the group of inner automorphisms of each Lie algebra. Unlike the first application of the algorithm in Boyko et al (2006 J. Phys. A: Math. Gen. 39 5749 (Preprint math-ph/0602046)), which deals with low-dimensional Lie algebras, here the effectiveness of the algorithm is demonstrated by its application to computation of invariants of solvable Lie algebras of general dimension n < ∞ restricted only by a required structure of the nilradical. Specifically, invariants are calculated here for families of real/complex solvable Lie algebras. These families contain, with only a few exceptions, all the solvable Lie algebras of specific dimensions, for whom the invariants are found in the literature
Cartan geometries and their symmetries a Lie algebroid approach
Crampin, Mike
2016-01-01
In this book we first review the ideas of Lie groupoid and Lie algebroid, and the associated concepts of connection. We next consider Lie groupoids of fibre morphisms of a fibre bundle, and the connections on such groupoids together with their symmetries. We also see how the infinitesimal approach, using Lie algebroids rather than Lie groupoids, and in particular using Lie algebroids of vector fields along the projection of the fibre bundle, may be of benefit. We then introduce Cartan geometries, together with a number of tools we shall use to study them. We take, as particular examples, the four classical types of geometry: affine, projective, Riemannian and conformal geometry. We also see how our approach can start to fit into a more general theory. Finally, we specialize to the geometries (affine and projective) associated with path spaces and geodesics, and consider their symmetries and other properties.
Characteristic classes of transitive Lie algebroids. Categorical point of view
Mishchenko, A S
2011-01-01
The talk was done at the International Conference "Analysis, Topology and Applications", Harbin, China, 23.08.2011. Transitive Lie algebroids have specific properties that allow to look at the transitive Lie algebroid as an element of the object of a homotopy functor. Roughly speaking each transitive Lie algebroids can be described as a vector bundle over the tangent bundle of the manifold which is endowed with additional structures. Therefore transitive Lie algebroids admits a construction of inverse image generated by a smooth mapping of smooth manifolds. The intention of my talk is to use a homotopy classification of transitive Lie algebroids due to K.Mackenzie (2005) and on this basis to construct a classifying space. The realization of the intention allows to describe characteristic classes of transitive Lie algebroids form the point of view a natural transformation of functors similar to the classical abstract characteristic classes for vector bundles and to compare them with that derived from the Chern...
Noether-Lie Symmetry of Generalized Classical Mechanical Systems
Institute of Scientific and Technical Information of China (English)
JIA Wen-Zhi; ZHANG Xiao-Ni; WANG Shun-Jin; FANG Jian-Hui; WANG Peng; DING Ning
2008-01-01
In this paper, the Noether-Lie symmetry and conserved quantities of generalized classical mechanical system are studied. The definition and the criterion of the Noether Lie symmetry for the system under the general infinitesimal transformations of groups are given. The Noether conserved quantity and the Hojman conserved quantity deduced from the Noether-Lie symmetry are obtained. An example is given to illustrate the application of the results.
Curvature properties of Lie hypersurfaces in the complex hyperbolic space
Hamada, Tatsuyoshi; Tamaru, Hiroshi
2009-01-01
A Lie hypersurface in the complex hyperbolic space is a homogeneous real hypersurface without focal submanifolds. The set of all Lie hypersurfaces in the complex hyperbolic space is bijective to a closed interval, which gives a deformation of homogeneous hypersurfaces from the ruled minimal one to the horosphere. In this paper, we study intrinsic geometry of Lie hypersurfaces, such as Ricci curvatures, scalar curvatures, and sectional curvatures.
Irreducible Lie-Yamaguti algebras of Generic Type
Benito, Pilar; Elduque, Alberto; Martin-Herce, Fabian
2009-01-01
Lie-Yamaguti algebras (or generalized Lie triple systems) are binary-ternary algebras intimately related to reductive homogeneous spaces. The Lie-Yamaguti algebras which are irreducible as modules over their inner derivation algebras are the algebraic counterpart of the isotropy irreducible homogeneous spaces. These systems splits into three disjoint types: adjoint type, non-simple type and generic type. The systems of the first two types were classified in a previous paper through a generali...
Magnetic pseudo-differential Weyl calculus on nilpotent Lie groups
Beltita, Ingrid; Beltita, Daniel
2009-01-01
We develop a pseudo-differential Weyl calculus on nilpotent Lie groups which allows one to deal with magnetic perturbations of right invariant vector fields. For this purpose we investigate an infinite-dimensional Lie group constructed as the semidirect product of a nilpotent Lie grup and an appropriate function space thereon. We single out an appropriate coadjoint orbit in the semidirect product and construct our pseudo-differential calculus as a Weyl quantization of that orbit.
Classification of Low Dimensional Lie Super-Bialgebras
Juszczak, Cezary; Sobczyk, Jan T.
1997-01-01
A thorough analysis of Lie super-bialgebra structures on Lie super-algebras osp(1|2) and super-e(2) is presented. Combined technique of computer algebraic computations and a subsequent identification of equivalent structures is applied. In all the cases Poisson-Lie brackets on supergroups are found. Possibility of quantizing them in order to obtain quantum groups is discussed. It turns out to be straightforward for all but one structures for super-E(2) group.
Lie symmetry and Mei conservation law of continuum system
International Nuclear Information System (INIS)
Lie symmetry and Mei conservation law of continuum Lagrange system are studied in this paper. The equation of motion of continuum system is established by using variational principle of continuous coordinates. The invariance of the equation of motion under an infinitesimal transformation group is determined to be Lie-symmetric. The condition of obtaining Mei conservation theorem from Lie symmetry is also presented. An example is discussed for applications of the results. (the physics of elementary particles and fields)
A Meta-Assembly of Selection Signatures in Cattle.
Randhawa, Imtiaz A S; Khatkar, Mehar S; Thomson, Peter C; Raadsma, Herman W
2016-01-01
Since domestication, significant genetic improvement has been achieved for many traits of commercial importance in cattle, including adaptation, appearance and production. In response to such intense selection pressures, the bovine genome has undergone changes at the underlying regions of functional genetic variants, which are termed "selection signatures". This article reviews 64 recent (2009-2015) investigations testing genomic diversity for departure from neutrality in worldwide cattle populations. In particular, we constructed a meta-assembly of 16,158 selection signatures for individual breeds and their archetype groups (European, African, Zebu and composite) from 56 genome-wide scans representing 70,743 animals of 90 pure and crossbred cattle breeds. Meta-selection-scores (MSS) were computed by combining published results at every given locus, within a sliding window span. MSS were adjusted for common samples across studies and were weighted for significance thresholds across and within studies. Published selection signatures show extensive coverage across the bovine genome, however, the meta-assembly provides a consensus profile of 263 genomic regions of which 141 were unique (113 were breed-specific) and 122 were shared across cattle archetypes. The most prominent peaks of MSS represent regions under selection across multiple populations and harboured genes of known major effects (coat color, polledness and muscle hypertrophy) and genes known to influence polygenic traits (stature, adaptation, feed efficiency, immunity, behaviour, reproduction, beef and dairy production). As the first meta-assembly of selection signatures, it offers novel insights about the hotspots of selective sweeps in the bovine genome, and this method could equally be applied to other species. PMID:27045296
Description of coupling in the category of transitive Lie algebroids
Li, Xiaoyu; Mishchenko, Alexander S.
2013-01-01
In our previous paper (arXiv:1306.5449) we have given a sufficient and necessary condition when the coupling between Lie algebra bundle (LAB) and the tangent bundle exists in the sense of Mackenzie (\\cite{Mck-2005}, Definition 7.2.2) for the theory of transitive Lie algebroids. Namely we have defined a new topology on the group $\\Aut(\\rg)$ of all automorphisms of the Lie algebra $\\rg$, say $\\Aut(\\rg)^{\\delta}$, and show that tangent bundle $TM$ can be coupled with the Lie algebra bundle $L$ i...
3-Lie bialgebras (Lb,Cd and (Lb,Ce
Directory of Open Access Journals (Sweden)
Bai Ruipu
2016-05-01
Full Text Available Four dimensional $3$-Lie coalgebras with two-dimensional derived algebras, and four-dimensional $3$-Lie bialgebras of type $(L_b, C_c$ are classified. It is proved that there exist three classes of four dimensional $3$-Lie coalgebras with two-dimensional derived algebra which are $(L, C_{c_i}$, $i=1, 2, 3$ (Lemma 3.1, and ten classes of four dimensional $3$-Lie bialgebras of type $(L_b, C_c$ (Theorem 3.2.
Probst, J.K.; Spengler Neff, A.; Hillmann, E.; Kreuzer, M; Koch-Mathis, M.; Leiber, F
2014-01-01
Physiological and behavioural reactions of cattle to handling procedures in a commercial abattoir (electrical prodding actions and duration of the animals׳ stay in the stunning box) were evaluated and set in relation to sex, breed type, and carcass weight. A total of 192 cattle comprised of 45 bulls, 61 steers, and 86 heifers from different breed types (30 dairy breed, 70 beef breed, and 92 crossbreds) were observed from lairage to slaughter during one day. The frequency of electrical proddin...
Mehdi, Youcef; Dufrasne, Isabelle
2016-01-01
This review article examines the role of selenium (Se) and the effects of Se supplementation especially in the bovine species. Selenium is an important trace element in cattle. Some of its roles include the participation in the antioxidant defense the cattle farms. The nutritional requirements of Se in cattle are estimated at 100 μg/kg DM (dry matter) for beef cattle and at 300 μg/kg DM for dairy cows. The rations high in fermentable carbohydrates, nitrates, sulfates, calcium or hydrogen cyanide negatively influence the organism's use of the selenium contained in the diet. The Se supplementation may reduce the incidence of metritis and ovarian cysts during the postpartum period. The increase in fertility when adding Se is attributed to the reduction of the embryonic death during the first month of gestation. A use of organic Se in feed would provide a better transfer of Se in calves relative to mineral Se supplementation. The addition of Se yeasts in the foodstuffs of cows significantly increases the Se content and the percentage of polyunsaturated fatty acids (PUFA) in milk compared to the addition of sodium selenite. The enzyme 5-iodothyronine deiodinase is a seleno-dependent selenoprotein. It is one of the last proteins to be affected in the event of Se deficiency. This delay in response could explain the fact that several studies did not show the effect of Se supplementation on growth and weight gain of calves. Enrichment of Se in the diet did not significantly affect the slaughter weight and carcass yield of bulls. The impact and results of Se supplementation in cattle depend on physiological stage, Se status of animals, type and content of Se and types of Se administration. Further studies in Se supplementation should investigate the speciation of Se in food and yeasts, as well as understanding their metabolism and absorption. This constitute a path to exploit in order to explain certain different effects of Se. PMID:27120589
Directory of Open Access Journals (Sweden)
Youcef Mehdi
2016-04-01
Full Text Available This review article examines the role of selenium (Se and the effects of Se supplementation especially in the bovine species. Selenium is an important trace element in cattle. Some of its roles include the participation in the antioxidant defense the cattle farms. The nutritional requirements of Se in cattle are estimated at 100 μg/kg DM (dry matter for beef cattle and at 300 μg/kg DM for dairy cows. The rations high in fermentable carbohydrates, nitrates, sulfates, calcium or hydrogen cyanide negatively influence the organism’s use of the selenium contained in the diet. The Se supplementation may reduce the incidence of metritis and ovarian cysts during the postpartum period. The increase in fertility when adding Se is attributed to the reduction of the embryonic death during the first month of gestation. A use of organic Se in feed would provide a better transfer of Se in calves relative to mineral Se supplementation. The addition of Se yeasts in the foodstuffs of cows significantly increases the Se content and the percentage of polyunsaturated fatty acids (PUFA in milk compared to the addition of sodium selenite. The enzyme 5-iodothyronine deiodinase is a seleno-dependent selenoprotein. It is one of the last proteins to be affected in the event of Se deficiency. This delay in response could explain the fact that several studies did not show the effect of Se supplementation on growth and weight gain of calves. Enrichment of Se in the diet did not significantly affect the slaughter weight and carcass yield of bulls. The impact and results of Se supplementation in cattle depend on physiological stage, Se status of animals, type and content of Se and types of Se administration. Further studies in Se supplementation should investigate the speciation of Se in food and yeasts, as well as understanding their metabolism and absorption. This constitute a path to exploit in order to explain certain different effects of Se.
Czech Academy of Sciences Publication Activity Database
Šimek, Miloslav; Hynšt, Jaroslav; Čuhel, Jiří; Elhottová, Dana; Chroňáková, Alica; Jirout, Jiří; Krištůfek, Václav
Uppsala : Swedish University of Agricultural Sciences, 2009. s. 314. [BAGECO 10. Bacterial Genetics and Ecology - Coexisting on a Changing Planet. 15.06.2009-19.06.2009, Uppsala] Institutional research plan: CEZ:AV0Z60660521 Keywords : cattle * soil microbial community * greenhouse gas emissions Subject RIV: EH - Ecology, Behaviour
Determinants of Cattle Feeding Profit and Cost of Gain Variability
Schroeder, Ted C.; Albright, Martin L.; Langemeier, Michael R.; Mintert, James R.
1993-01-01
Cattle feeders face risks from fluctuating fed cattle, feeder cattle, and feed prices and cattle performance. Closeout data on 7293 pens of steers are studied to determine the relative impacts of prices and animal performance on cattle feeding profits and cost of gain. Results indicate the importance of managing price risk.
On the Correct Use of Statistical Tests: Reply to "Lies, damned lies and statistics (in Geology)"
Sornette, D
2010-01-01
In a recent Forum in EOS entitled "Lies, damned lies and statistics (in Geology)", Vermeesch (2009) claims that "statistical significant is not the same as geological significant", in other words, statistical tests may be misleading. In complete contradiction, we affirm that statistical tests are always informative. We trace the erroneous claim of Vermeesch (2009) to a mistake in the interpretation of the chi-square test. Furthermore, using the same catalog of 118,415 earthquakes of magnitude 4 or greater and occurring between Friday 1st January 1999 and Thursday, 1 January 2009 (USGS, http://earthquake.usgs.gov), we show that the null hypothesis that "the occurrence of earthquakes does not depend on the day of the week" cannot be rejected (p-value equal to p=0.46), when taking into account the two well-known effects of (i) catalog incompleteness and (ii) aftershock clustering. This corrects the p-value p=4.5 10^{-18} found by P. Vermeesch (2009), whose implementation of the chi-square test assumes that the 1...
Entrepreneurship education and plagiarism : tell me lies, tell me sweet little lies
O'Dwyer, Michele; Risquez, Angelica; Ledwith, Ann
2010-01-01
peer-reviewed Purpose – This paper seeks to contribute to entrepreneurship education research by exploring entrepreneurship students' views of plagiarism, and their ability to recognise and avoid plagiarism. Design/methodology/approach – The study is based on a questionnaire administered to 205 undergraduate university entrepreneurship students, combining self-reported data with behavioural measures. Findings – The results illustrate that, although entrepreneurship students have a ...
Poisson Lie Group Symmetries for the Isotropic Rotator
Marmo, G; Stern, A
1995-01-01
We find a new Hamiltonian formulation of the classical isotropic rotator where left and right $SU(2)$ transformations are not canonical symmetries but rather Poisson Lie group symmetries. The system corresponds to the classical analog of a quantum mechanical rotator which possesses quantum group symmetries. We also examine systems of two classical interacting rotators having Poisson Lie group symmetries.
Lying in Children's Fiction: Morality and the Imagination
Ringrose, Christopher
2006-01-01
The telling of lies is significant in fiction written for children, and is often (though not in all cases) performed by child protagonists. Lying can be examined from at least three perspectives: philosophical, moral and aesthetic. The moral and the aesthetic are the most significant for children's literature. Morality has been subtly dealt with…
Computations with reachable elements in simple Lie algebras
de Graaf, Willem
2010-01-01
We report on some computations with reachable elements in simple Lie algebras of exceptional type within the SLA package of GAP4. These computations confirm the classification of such elements by Elashvili and Grelaud. Secondly they answer a question from Panyushev. Thirdly they show in what way a recent result of Yakimova for the Lie algebras of classical type extends to the exceptional types.
The special linear representations of compact Lie groups
Nadjafikhah, Mehdi; Chamazkotiy, Rohollah Bakhshandeh
2007-01-01
The special linear representation of a compact Lie group G is a kind of linear representation of compact Lie group G with special properties. It is possible to define the integral of linear representation and extend this concept to special linear representation for next using.
Children's Lies and Their Detection: Implications for Child Witness Testimony
Talwar, Victoria; Crossman, Angela M.
2012-01-01
The veracity of child witness testimony is central to the justice system where there are serious consequences for the child, the accused, and society. Thus, it is important to examine how children's lie-telling abilities develop and the factors that can influence their truthfulness. The current review examines children's lie-telling ability in…
Universal central extensions of direct limits of Lie superalgebras
Neher, Erhard
2011-01-01
We show that the universal central extension of a direct limit of perfect Lie superalgebras L_i is (isomorphic to) the direct limit of the universal central extensions of L_i. As an application we describe the universal central extensions of some infinite rank Lie superalgebras.
On the role of effective representations of Lie groupoids
Trentinaglia, G.
2010-01-01
In this paper, we undertake the study of the Tannaka duality construction for the ordinary representations of a proper Lie groupoid on vector bundles. We show that for each proper Lie groupoid G, the canonical homomorphism of G into the reconstructed groupoid T(G) is surjective, although, contrary t
Lie Algebroids in Classical Mechanics and Optimal Control
Directory of Open Access Journals (Sweden)
Eduardo Martínez
2007-03-01
Full Text Available We review some recent results on the theory of Lagrangian systems on Lie algebroids. In particular we consider the symplectic and variational formalism and we study reduction. Finally we also consider optimal control systems on Lie algebroids and we show how to reduce Pontryagin maximum principle.
Lie Algebras Associated with Group U(n)
Institute of Scientific and Technical Information of China (English)
无
2007-01-01
Starting from the subgroups of the group U(n), the corresponding Lie algebras of the Lie algebra A1 are presented, from which two well-known simple equivalent matrix Lie algebras are given. It follows that a few expanding Lie algebras are obtained by enlarging matrices. Some of them can be devoted to producing double integrable couplings of the soliton hierarchies of nonlinear evolution equations. Others can be used to generate integrable couplings involving more potential functions. The above Lie algebras are classified into two types. Only one type can generate the integrable couplings, whose Hamiltonian structure could be obtained by use of the quadratic-form identity. In addition, one condition on searching for integrable couplings is improved such that more useful Lie algebras are enlightened to engender. Then two explicit examples are shown to illustrate the applications of the Lie algebras. Finally, with the help of closed cycling operation relations, another way of producing higher-dimensional Lie algebras is given.
Virial theorem in quasi-coordinates and Lie algebroid formalism
Cariñena, José F.; Gheorghiu, Irina; Mart\\'\\inez, Eduardo; Santos, Patr\\'\\icia
2014-01-01
In this paper, the geometric approach to the virial theorem developed in \\cite{CFR12} is written in terms of quasi-velocities (see \\cite{CNCS07}). A generalization of the virial theorem for mechanical systems on Lie algebroids is also given, using the geometric tools of Lagrangian and Hamiltonian mechanics on the prolongation of the Lie algebroid.
Lie transform perturbation theory based on Lagrangian one-form
Zhang, S X
2016-01-01
As a method different from canonical perturbation transform based on Hamilton-Jacob equation and Lie perturbation transform based on motion equation given by Deprit, Lie transform perturbation theory based on Lagrangian 1-form is explored for its wide application in canonical and noncanonical perturbed systems, specific examples of which include Kruskal's perturbed model, canonicalizing guiding center and deriving guiding center kinetics.
On some embedding of recursively presented Lie algebras
Chibrikov, E
2011-01-01
In this paper we prove that every recursively presented Lie algebra over a field which is a finite extention of its simple subfield can be embedded in a recursively presented Lie algebra defined by relations which are equalities of (nonassociative) words of generators and a+b=c, where a,b,c are generators.
Tits construction of the exceptional simple Lie algebras
Elduque, Alberto
2009-01-01
The classical Tits construction of the exceptional simple Lie algebras has been extended in a couple of directions by using either Jordan superalgebras or composition superalgebras. These extensions are reviewed here. The outcome has been the discovery of some new simple modular Lie superalgebras.
Linear algebra meets Lie algebra: the Kostant-Wallach theory
Shomron, Noam; Parlett, Beresford N.
2008-01-01
In two languages, Linear Algebra and Lie Algebra, we describe the results of Kostant and Wallach on the fibre of matrices with prescribed eigenvalues of all leading principal submatrices. In addition, we present a brief introduction to basic notions in Algebraic Geometry, Integrable Systems, and Lie Algebra aimed at specialists in Linear Algebra.
Singular deformations of Lie algebras on an example
Fialowski, Alice; Fuchs, Dmitry
1997-01-01
The notion of singular one-parameter deformation of a Lie algebra is introduced. It is shown that the complex infinite-dimensional Lie algebra of polynomial vector fields in C with trivial 1-jet at the origin has such singular deformation.
Directory of Open Access Journals (Sweden)
Petrujkić Tihomir
2003-01-01
Full Text Available The diet of high-yield dairy cows process a very complex and acute problem. Much new knowledge in the area of production and preparation of feedstuffs, diet technology, and the interactions that occur between the components of the nutritive feed ration are required in order to resolve this problem. It is necessary constantly to coordinate feed norms with genetic potential which is ever changing and advanced. The observed problems must be resolved using multidisciplinary methods so that a diet can yield good health, and that health contribute to better reproduction and possibilities for more successful breeding and improved performance in cattle farming. In certain countries, thanks to their geographic position and climatic conditions which allow rainfall throughout the year, a natural green diet can be applied, which provides large numbers of green mass components, and with additives which can be supplemented relatively easily. This type of diet is not possible in our farms. It is very important to know which feedstuff components are laking for certain categories of cattle. The used ration must be constant and administered to animals of certain age or production characteristics in order to improve production results at cattle farms. A great problem occurs when diet is reduced due to dried grass and the resulting stress in animals. A 50% diet reduction in young cattle often results in the occurrence of respiratory diseases. Following 10-14 days of treatment, the disease disappears in young animals, but the energy deficit leads to the weakening (depression of the immune system. Even a so-called high-energy diet often causes respiratory diseases. A diet deficient in proteins also affects cows after lactation, as opposed to a normative diet, and a reduced protein diet disturbs the microbial activity in the rumen and the synthesis of compounds which are important for both the cow and the calf, making room for the incidence of metabolic diseases, most
Czech Academy of Sciences Publication Activity Database
Čuhel, Jiří; Šimek, Miloslav
Nijmegen: Radboud University Nijmegen, 2006. s. 38. [COST Action 856, Ecological Aspects of Denitrification, with Emphasis on Agriculture . Management Committee Meeting & Workshop, New developments in the N-cycle reactions in the first decade of the 21st century. 09.03.2006-11.03.2006, Nijmegen] Institutional research plan: CEZ:AV0Z60660521 Keywords : denitrifying microbial consortium * pasture soil * intensity of cattle-induced stress Subject RIV: EH - Ecology, Behaviour
Czech Academy of Sciences Publication Activity Database
Šimek, Miloslav; Brůček, Petr; Hynšt, Jaroslav; Uhlířová, Eva; Petersen, S. O.
2006-01-01
Roč. 112, 2-3 (2006), s. 186-191. ISSN 0167-8809 R&D Projects: GA AV ČR(CZ) KSK3046108; GA ČR(CZ) GA526/04/0325 Grant ostatní: Evropská unie(XE) EVK2-CT-2000-00096 Institutional research plan: CEZ:AV0Z6066911 Keywords : cattle overwintering * emissions * nitrous oxide Subject RIV: EH - Ecology, Behaviour Impact factor: 1.832, year: 2006
Czech Academy of Sciences Publication Activity Database
Šimek, Miloslav; Hynšt, Jaroslav; Brůček, Petr; Čuhel, Jiří; Elhottová, Dana; Šantrůčková, Hana; Kamír, V.
Wageningen : Wageningen Academic Publishers, 2005. s. 567. [International Grassland Congress /20./. 26.06.2005-02.07.2005, Dublin] R&D Projects: GA ČR(CZ) GA526/04/0325 Grant ostatní: Evropská unie(XE) EVK2-CT-2000-00096 Institutional research plan: CEZ:AV0Z60660521 Keywords : cattle overwintering areas * middle- European conditions * nitrous oxide emissions Subject RIV: EH - Ecology, Behaviour
Palev, Tchavdar D.
1996-01-01
An analogue of the Holstein-Primakoff and of the Dyson realization for the Lie superalgebra $sl(1/n)$ is written down. The expressions are formally the same as for the Lie algebra $sl(n+1)$, however in the latter the Bose operators have to be replaced with Fermi operators.
Test Rank of an Abelian Product of a Free Lie Algebra and a Free Abelian Lie Algebra
Indian Academy of Sciences (India)
Naime Ekici; Nazar Şahin Öğüşlü
2011-08-01
Let be a free Lie algebra of rank ≥ 2 and be a free abelian Lie algebra of rank ≥ 2. We prove that the test rank of the abelian product $F× A$ is . Morever we compute the test rank of the algebra $F/ k(F)'$.
Reactions 7Li(e,6He) pe' and 7Li(e,6Li) ne' at intermediate excitation energies
International Nuclear Information System (INIS)
The reactions 7Li(e,6He) pe' and 7Li(e,6Li) ne' have been studied at intermediate excitation energies. Angular distributions as well as energy distributions are presented. The experimental cross sections are compared to the results obtained from a simple model
Massé, Raymond
2002-08-01
A constructivist approach in medical anthropology suggests that the boundary between lies and truth in sickness narratives is thin. Based on fieldwork in the French (Martinique) and English (Saint-Lucia) Carribbean with gadé and quimboiseurs (local folk healers), this paper addresses the gap between naïve romanticism and radical cynicism in the anthropological analysis of patient-healer encounters. Is the sick person lying when she accuses evil spirits for her behaviour or sickness? Is the quimboiseur who is building a meaningful explanation or diagnosis simply a liar taking advantage of his client's credulity? The challenge for anthropology is not to determine whether or not a person is lying when attributing their ill fortune to witchcraft. Instead, in this paper, the author approaches lying as a language-game played by both patients and folk healers. Concepts of lying as games, tactical lies, pragmatic creativity, and constructive lies are introduced here as a perspective for a reconsideration of lying as a pertinent research object. PMID:26868988
Lying behavior and postpartum health status in grazing dairy cows.
Sepúlveda-Varas, P; Weary, D M; von Keyserlingk, M A G
2014-10-01
Many cows have difficulty making the transition from pregnancy to lactation, as evidenced by the high incidence of disease that occurs in the weeks after calving. Changes in lying behavior can be used as an indicator of illness, yet no work to date has evaluated this relationship in dairy cows on pasture. The objectives of this study were to describe the lying behavior of grazing dairy cows during the first 3 wk after calving and determine the relationships between transition diseases and lying behavior. Our convenience sample included 227 multiparous and 47 primiparous Holstein cows from 6 commercial farms. Cows were recruited as they calved during the spring calving period. Electronic data loggers (Hobo Pendant G Acceleration, Onset Computer Corp., Pocasset, MA) recorded lying behavior at 1-min intervals. Diseases were recorded up to 21 d in milk, and cows were subsequently categorized into 3 health categories: (1) healthy, not lame and had no other signs of clinical (retained placenta, milk fever, metritis, mastitis) or subclinical (ketosis, hypocalcemia) postpartum diseases; (2) lame, identified as being clinically or severely lame with no other signs of clinical or subclinical postpartum disease; and (3) sick, diagnosed as having one or more clinical postpartum diseases (with or without a subclinical disease) but not lame. This last group was further divided into 2 groups: those that were diagnosed with a single clinical health event and those diagnosed with more than one clinical event. Lying behavior differed between primiparous and multiparous cows; primiparous cows divided their lying time into more bouts than did multiparous cows (9.7 ± 0.54 vs. 8.4 ± 0.26 bouts/d) and spent less time lying down than multiparous cows (7.5 ± 0.38 h/d vs. 8.5 ± 0.19 h/d). Lying behavior was also affected by illness; primiparous cows that developed more than one clinical disease, excluding lameness, spent more time lying, and tended to have longer lying bouts in the days
Chromosome analysis of arsenic affected cattle
Directory of Open Access Journals (Sweden)
S. Shekhar
2014-10-01
Full Text Available Aim: The aim was to study the chromosome analysis of arsenic affected cattle. Materials and Methods: 27 female cattle (21 arsenic affected and 6 normal were selected for cytogenetical study. The blood samples were collected, incubated, and cultured using appropriate media and specific methods. The samples were analyzed for chromosome number and morphology, relative length of the chromosome, arm ratio, and centromere index of X chromosome and chromosomal abnormalities in arsenic affected cattle to that of normal ones. Results: The diploid number of metaphase chromosomes in arsenic affected cattle as well as in normal cattle were all 2n=60, 58 being autosomes and 2 being sex chromosomes. From the centromeric position, karyotyping studies revealed that all the 29 pair of autosomes was found to be acrocentric or telocentric, and the sex chromosomes (XX were submetacentric in both normal and arsenic affected cattle. The relative length of all the autosome pairs and sex chrosomosome pair was found to be higher in normal than that of arsenic affected cattle. The mean arm ratio of X-chromosome was higher in normal than that of arsenic affected cattle, but it is reverse in case of centromere index value of X-chromosome. There was no significant difference of arm ratio and centromere index of X-chromosomes between arsenic affected and normal cattle. No chromosomal abnormalities were found in arsenic affected cattle. Conclusion: The chromosome analysis of arsenic affected cattle in West Bengal reported for the first time in this present study which may serve as a guideline for future studies in other species. These reference values will also help in comparison of cytological studies of arsenic affected cattle to that of various toxicants.
Mycotoxins in pathophysiology of cattle diet
Mašić Zoran; Adamović Milan; Đilas Sandra M.; Mihaljev Željko A.
2003-01-01
Depending on the age and production category, cattle show different sensitivity towards certain mycotoxins. Microflora of the rumen degrades to a different degree and inactivates mycotoxins. In the work are presented the most important mycotoxicoses of cattle caused by fungal metabolites from the genera Fusarium, Aspergillus and Penicillium. Poisoning of cattle in our area is most often caused by Zearalenone, Dioxinivalenol, T-2 toxin, Ochratoxin A and Aflatoxin, but in the work are also pres...
Reciprocal Translocations in Cattle: frequency estimation
De Lorenzi, Lisa; Morando, Paola; Planas Cuchi, Jordi; Zannotti, Michele; Molteni, Luciano; Parma, Pietro
2010-01-01
Chromosomal anomalies, like Robertsonian and reciprocal translocations represent a big problem in cattle breeding as their presence induces, in the carrier subjects, a well documented fertility reduction. In cattle reciprocal translocations (RCPs, a chromosome abnormality caused by an exchange of material between nonhomologous chromosomes) are considered rare as to date only 19 reciprocal translocations have been described. In cattle it is common knowledge that the Robertson...
Optic pathway degeneration in Japanese black cattle
Chiba, Shiori; FUNATO, Shingo; Horiuchi, Noriyuki; Matsumoto, Kotaro; Inokuma, Hisashi; FURUOKA, Hidefumi; Kobayashi, Yoshiyasu
2014-01-01
Degeneration of the optic pathway has been reported in various animal species including cattle. We experienced a case of bilateral optic tract degeneration characterized by severe gliosis in a Japanese black cattle without any obvious visual defects. To evaluate the significance, pathological nature and pathogenesis of the lesions, we examined the optic pathway in 60 cattle (41 Japanese black, 13 Holstein and 6 crossbreed) with or without ocular abnormalities. None of these animals had optic ...
Chromosome fragility in Freemartin cattle
Directory of Open Access Journals (Sweden)
V. Barbieri
2010-04-01
Full Text Available The aim of the present study was to verify chromosome fragility in freemartin cattle using chromosome aberration (CA and sister chromatid exchange (SCE tests. A total of eighteen co-twins were investigated. Fourteen animals were identified as cytogenetically chimeric (2n=60, XX/XY while 4 were classified as normal. Freemartin cattle showed a higher percentage of aneuploid cells (18.64% and highly significant statistical differences (P < 0.001 in mean values of gaps (4.53 ± 2.05, chromatid breaks (0.26 ± 0.51, and significant statistical differences (P < 0.005 in mean values of chromosome breaks (0.12 ± 0.43 when compared to 10 control animals from single births (aneuploid cells, 11.20%; gaps, 2.01 ± 1.42; chromatid breaks, 0.05 ± 0.22; chromosome breaks, 0.02 ± 0.14.
STILLBIRTH IN DAIRY CATTLE: REVIEW
E. SZÜCS; GulyÁs, L.; L.T. CZISZTER; I. Demirkan
2013-01-01
Findings of research and experiences gained in commercial practice reveal needs for efforts in order to reinforce further development in the subject matter of calving difficulty and stillbirth in dairy cattle with special emphasis on causes and effects. Direct costs such as loss of calf, death of dam, labour, veterinary assistance and other ones influencing economics in longer term e.g. higher culling rate, reduced milk yield and fertility have to be evaluated and interpreted. The effects of ...
EVALUATION OF VERMICOMPOSTED CATTLE MANURE
Zdenko Lončarić; Meri Engler; Krunoslav Karalić; Gordana Bukvić; Ružica Lončarić; Davor Kralik
2005-01-01
Vermicompost (lumbripost, biohumus) is organic fertilizer or potting medium produced by microbial decomposition of cattle manure using Californian earthworm (Eisenia foetida). Analysing physical, chemical and biological properties confirmed that the vermicompost was stable with significant level of plant nutrients and the concentration of analysed heavy metals below threshold values. The results of vermicompost analyses were 17.85% ash, neutral pH reaction, EC 1.07 dS m-1, 24.6% total C, 2.32...
Matsui, T
2012-01-01
Domestic animals, including ruminants, can synthesize vitamin C (VC) in their liver; as such, the dietary requirement for VC has not been confirmed in these animals. The adequacy of VC has been evaluated by quantifying VC levels in plasma, but the reported values in bovine plasma have been widely variable. Plasma VC concentration is decreased by heat stress, hepatic lesions, fattening, and infectious diseases such as mastitis in cattle. Therefore, VC supplementation is potentially beneficial ...
Greenhouse Gas Emissions From Cattle
Podkówka Zbigniew; Čermák Bohuslav; Podkówka Witold; Brouček Jan
2015-01-01
Cattle produce greenhouse gases (GHG) which lead to changes in the chemical composition of the atmosphere. These gases which cause greenhouse effect include: methane (CH4), nitrous oxide (N2O), nitrogen oxides (NOx), sulphur dioxide (SO2), ammonia (NH3), dust particles and non-methane volatile organic compounds, commonly described as other than methane hydrocarbons. Fermentation processes taking place in the digestive tract produce ‘digestive gases’, distinguished from gases which are emitted...
Gong, Shaogang
2011-01-01
This book presents a comprehensive treatment of visual analysis of behaviour from computational-modelling and algorithm-design perspectives. This title: covers learning-group activity models, unsupervised behaviour profiling, hierarchical behaviour discovery, learning behavioural context, modelling rare behaviours, and 'man-in-the-loop' active learning; examines multi-camera behaviour correlation, person re-identification, and 'connecting-the-dots' for abnormal behaviour detection; discusses Bayesian information criterion, Bayesian networks, 'bag-of-words' representation, canonical correlation
Sophus Lie une pensée audacieuse
Stubhaug, Arild
2006-01-01
Sophus Lie (1842-1899) compte parmi les plus grandes figures norvgiennes de la science. La notorit que lui valent ses travaux n'a rien envier celle de son illustre compatriote Niels Henrik Abel. Groupes et alg bres de Lie ont acquis droit de cit dans maints domaines. Dans cette biographie dtaille, l'crivain Arild Stubhaug, puisant dans la volumineuse correspondance de Lie, dcrit l'homme et la socit norvgienne dans la seconde moiti du XIXe si cle. Le lecteur peut ainsi suivre son enfance dans un presbyt re nich au fond d'un fjord, dcouvrir les rformes de l'enseignement, voyager en Europe, frque
Graded Automorphism Group of TKK Lie Algebra over Semilattice
Institute of Scientific and Technical Information of China (English)
Zhang Sheng XIA
2011-01-01
Every extended affine Lie algebra of type A1 and nullity v with extended affine root system R(A1, S), where S is a semilattice in Rv, can be constructed from a TKK Lie algebra T(J(S)) which is obtained from the Jordan algebra J(S) by the so-called Tits-Kantor-Koecher construction. In this article we consider the Zn-graded automorphism group of the TKK Lie algebra T(J(S)), where S is the "smallest" semilattice in Euclidean space Rn.
Higher order Lie-Baecklund symmetries of evolution equations
International Nuclear Information System (INIS)
We have considered in detail the analysis of higher order Lie-Baecklund symmetries for some representative nonlinear evolution equations. Until now all such symmetry analyses have been restricted only to the first order of the infinitesimal parameter. But the existence of Baecklund transformation (which can be shown to be an overall sum of higher order Lie-Baecklund symmetries) makes it necessary to search for such higher order Lie-Baecklund symmetries directly without taking recourse to the Baecklund transformation or inverse scattering technique. (author)
On Split Lie Algebras with Symmetric Root Systems
Indian Academy of Sciences (India)
Antonio J Calderón Martín
2008-08-01
We develop techniques of connections of roots for split Lie algebras with symmetric root systems. We show that any of such algebras is of the form $L=\\mathcal{U}+\\sum_j I_j$ with $\\mathcal{U}$ a subspace of the abelian Lie algebra and any $I_j$ a well described ideal of , satisfying $[I_j,I_k]=0$ if $j≠ k$. Under certain conditions, the simplicity of is characterized and it is shown that is the direct sum of the family of its minimal ideals, each one being a simple split Lie algebra with a symmetric root system and having all its nonzero roots connected.
On the free Lie algebra with multiple brackets
D'León, Rafael S. González
2014-01-01
It is a classical result that the multilinear component of the free Lie algebra is isomorphic (as a representation of the symmetric group) to the top (co)homology of the proper part of the poset of partitions $\\Pi_n$ tensored with the sign representation. We generalize this result in order to study the multilinear component of the free Lie algebra with multiple compatible Lie brackets. We introduce a new poset of weighted partitions $\\Pi_n^k$ that allows us to generalize the result. The new p...
Almost split real forms for hyperbolic Kac Moody Lie algebras
Ben Messaoud, Hechmi
2006-11-01
A Borel Tits theory was developed for almost split forms of symmetrizable Kac Moody Lie algebras. In this paper, we look to almost split real forms and their restricted root systems for symmetrizable hyperbolic Kac Moody Lie algebras. We establish a complete list of these forms, in terms of their Satake Tits index, for the strictly hyperbolic ones and for those which are obtained as (hyperbolic) canonical Lorentzian extensions of affine Lie algebras. These forms are of particular interest in theoretical physics because of their connection to supergravity theories.
Inter-animal radiation as potential heat stressor in lying animals
Berman, A.
2014-09-01
A model for predicting inter-animal radiant heat exchange in shaded animals is presented, with emphasis on mature cattle. When a cow's surface temperature is 35 °C, as is common in warmer climates, it loses ˜510 Watt m-2 as radiant heat. Net radiant heat balance depends on radiation coming from bodies in the vicinity. In the 30 °C radiant temperature shaded environment typical of warm climates, net radiant loss from a lactating cow is ˜60 Watt m-2, i.e., 30 % of its ˜173 Watt m-2 heat production. Cows rest for 8-14 h day-1. The heat exchange of a lying cow differs from that of a standing one: the body center is low and 20-30 % of its surface contacts a surface of relatively low heat conductance. Lying reduces the impact of the surrounding shaded area on heat exchange but increases that of heat radiating from neighboring cows. When a cow rests adjacent to other cows, with 1.25 m between body centers when in stalls, it occupies about 140° of the horizontal plane of view. Heat emitted from the animal's surface reduces the net radiant heat loss of a resting cow by ˜30 Watt m-2. In contrast, the presence of cows at 5 and 10 m distance, e.g., cows resting on straw in loose yard housing, reduces the net radiant heat loss of the resting cow by 9 and 5 Watt m-2, respectively. Radiant heat input increases with animal density, which is beneficial in cooler climates, but acts as a stressor in warm climates.
Shear behaviour and stiffness of naturally cemented sands
Cuccovillo, T.
1995-01-01
The behaviour of natural soils is highly influenced by structural features arising from their geological history and was recognised to lie outside current frameworks which account only for the stress-volume state of the soil. The objective of the research was to compare the shear behaviour and stiffness of two naturally cemented sands: a calcarenite with relatively low densities, weak particles and strong bonding and a silica sandstone with high densities, strong particles and weak bonding. C...
Pseudo-Kähler Lie algebras with Abelian complex structures
International Nuclear Information System (INIS)
We study Lie algebras endowed with an Abelian complex structure which admit a symplectic form compatible with the complex structure. We prove that each of those Lie algebras is completely determined by a pair (U, H) where U is a complex commutative associative algebra and H is a sesquilinear Hermitian form on U which verifies certain compatibility conditions with respect to the associative product on U. The Riemannian and Ricci curvatures of the associated pseudo-Kähler metric are studied and a characterization of those Lie algebras which are Einstein but not Ricci flat is given. It is seen that all pseudo-Kähler Lie algebras can be inductively described by a certain method of double extensions applied to the associated complex associative commutative algebras. (paper)
Geometrical Aspects of Lie Groups Representations and Their Optical Applications
Guerrero, J; Marmo, G; Simoni, A
2001-01-01
In this paper we present a new procedure to obtain unitary and irreducible representations of Lie groups starting from the cotangent bundle of the group (the cotangent group). We discuss some applications of the construction in quantum-optics problems.
Low-lying Fermion modes: Dynamical versus quenched
International Nuclear Information System (INIS)
We compare the low-lying eigenmodes of the O(a) improved Wilson-Dirac operator on quenched and dynamical configurations and investigate methods of probing the topological properties of gauge configurations. (orig.)
A Lie based 4-dimensional higher Chern-Simons theory
Zucchini, Roberto
2015-01-01
We present and study a model of 4-dimensional higher Chern-Simons theory, special Chern-Simons (SCS) theory, instances of which have appeared in the string literature, whose symmetry is encoded in a skeletal semistrict Lie 2-algebra constructed from a compact Lie group with non discrete center. The field content of SCS theory consists of a Lie valued 2-connection coupled to a background closed 3-form. SCS theory enjoys a large gauge and gauge for gauge symmetry organized in an infinite dimensional strict Lie 2-group. The partition function of SCS theory is simply related to that of a topological gauge theory localizing on flat connections with degree 3 second characteristic class determined by the background 3-form. Finally, SCS theory is related to a 3-dimensional special gauge theory whose 2-connection space has a natural symplectic structure with respect to which the 1-gauge transformation action is Hamiltonian, the 2-curvature map acting as moment map.
A Lie based 4-dimensional higher Chern-Simons theory
Zucchini, Roberto
2016-05-01
We present and study a model of 4-dimensional higher Chern-Simons theory, special Chern-Simons (SCS) theory, instances of which have appeared in the string literature, whose symmetry is encoded in a skeletal semistrict Lie 2-algebra constructed from a compact Lie group with non discrete center. The field content of SCS theory consists of a Lie valued 2-connection coupled to a background closed 3-form. SCS theory enjoys a large gauge and gauge for gauge symmetry organized in an infinite dimensional strict Lie 2-group. The partition function of SCS theory is simply related to that of a topological gauge theory localizing on flat connections with degree 3 second characteristic class determined by the background 3-form. Finally, SCS theory is related to a 3-dimensional special gauge theory whose 2-connection space has a natural symplectic structure with respect to which the 1-gauge transformation action is Hamiltonian, the 2-curvature map acting as moment map.
Some functional inequalities on polynomial volume growth Lie groups
Chamorro, Diego
2010-01-01
We study in this article some Sobolev-type inequalities on polynomial volume growth Lie groups. We show in particular that improved Sobolev inequalities can be extended without the use of the Littlewood-Paley decomposition to this general framework.
Poincare-Lie algebra and noncommutative differential calculus
International Nuclear Information System (INIS)
A realization of Poincare-Lie algebra in terms of noncommutative differential calculus is constructed. Corresponding relativistic quantum mechanics is considered. The important conclusion is that field equations appear in the integral form
Cohomology of Lie superalgebras and of their generalizations
Scheunert, M
1997-01-01
The cohomology groups of Lie superalgebras and, more generally, of color Lie algebras, are introduced and investigated. The main emphasis is on the case where the module of coefficients is non-trivial. Two general propositions are proved, which help to calculate the cohomology groups. Several examples are included to show the peculiarities of the super case. For L = sl(1|2), the cohomology groups H^1(L,V) and H^2(L,V), with V a finite-dimensional simple graded L-module, are determined, and the result is used to show that H^2(L,U(L)) (with U(L) the enveloping algebra of L) is trivial. This implies that the superalgebra U(L) does not admit of any non-trivial formal deformations (in the sense of Gerstenhaber). Garland's theory of universal central extensions of Lie algebras is generalized to the case of color Lie algebras.
Fast convergence techniques in the study of Lie groupoid representations
Trentinaglia, Giorgio
2015-01-01
In this short communication of results whose detailed proofs will appear elsewhere, we outline an inductive method for constructing effective representations of proper Lie groupoids. Our method relies on an analytic recursive averaging technique for groupoid connections.
Developments and retrospectives in Lie theory geometric and analytic methods
Penkov, Ivan; Wolf, Joseph
2014-01-01
This volume reviews and updates a prominent series of workshops in representation/Lie theory, and reflects the widespread influence of those workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, and mathematical physics. Many of the contributors have had leading roles in both the classical and modern developments of Lie theory and its applications. This Work, entitled Developments and Retrospectives in Lie Theory, and comprising 26 articles, is organized in two volumes: Algebraic Methods and Geometric and Analytic Methods. This is the Geometric and Analytic Methods volume. The Lie Theory Workshop series, founded by Joe Wolf and Ivan Penkov and joined shortly thereafter by Geoff Mason, has been running for over two decades. Travel to the workshops has usually been supported by the NSF, and local universities have provided hospitality. The workshop talks have been seminal in describing new perspectives in the field covering broad areas of current re...
Transitive Lie groups on S^1\\times S^{2m}
Gorbatsevich, Vladimir V.
2007-10-01
The structure of Lie groups acting transitively on the direct product of a circle and an even-dimensional sphere is described. For products of two spheres of dimension >1 a similar problem has already been solved by other authors. The minimal transitive Lie groups on S^1 and S^{2m} are also indicated. As an application of these results, the structure of the automorphism group of one class of geometric structures, generalized quadrangles (a special case of Tits buildings) is considered. A conjecture put forward by Kramer is proved: the automorphism group of a connected generalized quadrangle of type (1,2m) always contains a transitive subgroup that is the direct product of a compact simple Lie group and a one-dimensional Lie group. Bibliography: 16 titles.
Extensions, expansions, Lie algebra cohomology and enlarged superspaces
Energy Technology Data Exchange (ETDEWEB)
Azcarraga, J A de [Departamento de FIsica Teorica, Facultad de FIsica and IFIC - Centro Mixto Universidad de Valencia-CSIC, E-46100 Burjassot, Valencia (Spain); Izquierdo, J M [Departamento de FIsica Teorica, Universidad de Valladolid, E-47011 Valladolid (Spain); Picon, M [Departamento de FIsica Teorica, Facultad de FIsica and IFIC - Centro Mixto Universidad de Valencia-CSIC, E-46100 Burjassot, Valencia (Spain); Varela, O [Departamento de FIsica Teorica, Facultad de FIsica and IFIC - Centro Mixto Universidad de Valencia-CSIC, E-46100 Burjassot, Valencia (Spain)
2004-05-21
After briefly reviewing the methods that allow us to derive consistently new Lie (super)algebras from given ones, we consider enlarged superspaces and superalgebras, their relevance and some possible applications.
Developments and retrospectives in Lie theory algebraic methods
Penkov, Ivan; Wolf, Joseph
2014-01-01
This volume reviews and updates a prominent series of workshops in representation/Lie theory, and reflects the widespread influence of those workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, and mathematical physics. Many of the contributors have had leading roles in both the classical and modern developments of Lie theory and its applications. This Work, entitled Developments and Retrospectives in Lie Theory, and comprising 26 articles, is organized in two volumes: Algebraic Methods and Geometric and Analytic Methods. This is the Algebraic Methods volume. The Lie Theory Workshop series, founded by Joe Wolf and Ivan Penkov and joined shortly thereafter by Geoff Mason, has been running for over two decades. Travel to the workshops has usually been supported by the NSF, and local universities have provided hospitality. The workshop talks have been seminal in describing new perspectives in the field covering broad areas of current research. Mos...
Lie point symmetries and first integrals: the Kowalevsky top
M. Marcelli; M.C. Nucci
2002-01-01
We show how the Lie group analysis method can be used in order to obtain first integrals of any system of ordinary differential equations. The method of reduction/increase of order developed by Nucci (J. Math. Phys. 37, 1772-1775 (1996)) is essential. Noether's theorem is neither necessary nor considered. The most striking example we present is the relationship between Lie group analysis and the famous first integral of the Kowalevski top.
Graph Grammars, Insertion Lie Algebras, and Quantum Field Theory
Marcolli, Matilde; Port, Alexander
2015-01-01
Graph grammars extend the theory of formal languages in order to model distributed parallelism in theoretical computer science. We show here that to certain classes of context-free and context-sensitive graph grammars one can associate a Lie algebra, whose structure is reminiscent of the insertion Lie algebras of quantum field theory. We also show that the Feynman graphs of quantum field theories are graph languages generated by a theory dependent graph grammar.
Algebraic Ricci Solitons of three-dimensional Lorentzian Lie groups
Batat, Wafaa; Onda, Kensuke
2011-01-01
We classify Algebraic Ricci Solitons of three-dimensional Lorentzian Lie groups. All algebraic Ricci solitons that we obtain are sol-solitons. In particular, we prove that, contrary to the Riemannian case, Lorentzian Ricci solitons need not to be algebraic Ricci solitons. We classify Algebraic Ricci Solitons of three-dimensional Lorentzian Lie groups. All algebraic Ricci solitons that we obtain are solvsolitons. In particular, we obtain new solitons on $G_{2}$, $G_{5}$, and $G_{6}$, and we pr...
Teaching children with autism to tell socially appropriate lies.
Bergstrom, Ryan; Najdowski, Adel C; Alvarado, Marisela; Tarbox, Jonathan
2016-06-01
This study used a nonconcurrent multiple baseline across participants design to evaluate the use of rules, role-play, and feedback for teaching 3 children with autism spectrum disorder to tell socially appropriate lies when (a) presented with an undesired gift and (b) someone's appearance changed in an undesired way. The intervention was effective in teaching use of socially appropriate lies, and generalization to untrained people and gifts or appearances was observed. PMID:26831011
Auxiliary representations of Lie algebras and the BRST constructions
International Nuclear Information System (INIS)
The method of construction of auxiliary representations for a given Lie algebra is discussed in the framework of the BRST approach. The corresponding BRST charge turns out to be nonhermitian. This problem is solved by the introduction of the additional kernel operator in the definition of the scalar product in the Fock space. The existence of the kernel operator is proved for any Lie algebra
The topology of a semisimple Lie group is essentially unique
Kramer, Linus
2010-01-01
We study locally compact group topologies on semisimple Lie groups. We show that the Lie group topology on such a group $S$ is very rigid: every 'abstract' isomorphism between $S$ and a locally compact and $\\sigma$-compact group $\\Gamma$ is automatically a homeomorphism, provided that $S$ is absolutely simple. If $S$ is complex, then non-continuous field automorphisms of the complex numbers have to be considered, but that is all.
Computation of Cohomology of Lie Superalgebras of Vector Fields
Kornyak, Vladimir V.
2000-01-01
The cohomology of Lie (super)algebras has many important applications in mathematics and physics. It carries most fundamental ("topological") information about algebra under consideration. At present, because of the need for very tedious algebraic computation, the explicitly computed cohomology for different classes of Lie (super)algebras is known only in a few cases. That is why application of computer algebra methods is important for this problem. We describe here an algorithm and its C imp...
The Real K-Theory of Compact Lie Groups
Fok, Chi-Kwong
2014-03-01
Let G be a compact, connected, and simply-connected Lie group, equipped with a Lie group involution σ_G and viewed as a G-space with the conjugation action. In this paper, we present a description of the ring structure of the (equivariant) KR-theory of (G, σ_G) by drawing on previous results on the module structure of the KR-theory and the ring structure of the equivariant K-theory.
On seven dimensional quaternionic contact solvable Lie groups
Conti, Diego; Santisteban, José A
2011-01-01
We answer in the affirmative a question posed by Ivanov and Vassilev on the existence of a seven dimensional quaternionic contact manifold with closed fundamental 4-form and non-vanishing torsion endomorphism. Moreover, we show an approach to the classification of seven dimensional solvable Lie groups having an integrable left invariant quaternionic contact structure. In particular, we prove that the unique seven dimensional nilpotent Lie group admitting such a structure is the quaternionic Heisenberg group.
On representations of the filiform Lie superalgebra Lm,n
Wang, Qi; Chen, Hongjia; Liu, Wende
2015-11-01
In this paper, we study the representations for the filiform Lie superalgebras Lm,n, a particular class of nilpotent Lie superalgebras. We determine the minimal dimension of a faithful module over Lm,n using the theory of linear algebra. In addition, using the method of Feingold and Frenkel (1985), we construct some finite and infinite dimensional modules over Lm,n on the Grassmann algebra and the mixed Clifford-Weyl algebra.
Characteristic classes of flags of foliations and Lie algebra cohomology
Khoroshkin, Anton
2013-01-01
We prove the conjecture by Feigin, Fuchs and Gelfand describing the Lie algebra cohomology of formal vector fields on an $n$-dimensional space with coefficients in symmetric powers of the coadjoint representation. We also compute the cohomology of the Lie algebra of formal vector fields that preserve a given flag at the origin. The latter encodes characteristic classes of flags of foliations and was used in the formulation of the local Riemann-Roch Theorem by Feigin and Tsygan. Feigin, Fuchs ...
Emotion and lying in a non-native language.
Caldwell-Harris, Catherine L; Ayçiçeği-Dinn, Ayşe
2009-03-01
Bilingual speakers frequently report experiencing greater emotional resonance in their first language compared to their second. In Experiment 1, Turkish university students who had learned English as a foreign language had reduced skin conductance responses (SCRs) when listening to emotional phrases in English compared to Turkish, an effect which was most pronounced for childhood reprimands. A second type of emotional language, reading out loud true and false statements, was studied in Experiment 2. Larger SCRs were elicited by lies compared to true statements, and larger SCRs were evoked by English statements compared to Turkish statements. In contrast, ratings of how strongly participants felt they were lying showed that Turkish lies were more strongly felt than English lies. Results suggest that two factors influence the electrodermal activity elicited when bilingual speakers lie in their two languages: arousal due to emotions associated with lying, and arousal due to anxiety about managing speech production in non-native language. Anxiety and emotionality when speaking a non-naive language need to be better understood to inform practices ranging from bilingual psychotherapy to police interrogation of suspects and witnesses. PMID:18929603
Ternary q-Virasoro-Witt Hom-Nambu-Lie algebras
Energy Technology Data Exchange (ETDEWEB)
Ammar, F [Faculte des Sciences, Universite de Sfax, BP 1171, 3000 Sfax (Tunisia); Makhlouf, A [Laboratoire de Mathematiques, Informatique et Applications, Universite de Haute Alsace, 4, rue des Freres Lumiere F-68093 Mulhouse (France); Silvestrov, S, E-mail: Faouzi.Ammar@rnn.fss.t, E-mail: Abdenacer.Makhlouf@uha.f, E-mail: sergei.silvestrov@math.lth.s [Centre for Mathematical Sciences, Lund University, Box 118, SE-221 00 Lund (Sweden)
2010-07-02
In this paper we construct ternary q-Virasoro-Witt algebras which q-deform the ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos using su(1, 1) enveloping algebra techniques. The ternary Virasoro-Witt algebras constructed by Curtright, Fairlie and Zachos depend on a parameter and are not Nambu-Lie algebras for all but finitely many values of this parameter. For the parameter values for which the ternary Virasoro-Witt algebras are Nambu-Lie, the corresponding ternary q-Virasoro-Witt algebras constructed in this paper are also Hom-Nambu-Lie because they are obtained from the ternary Nambu-Lie algebras using the composition method. For other parameter values this composition method does not yield a Hom-Nambu-Lie algebra structure for q-Virasoro-Witt algebras. We show however, using a different construction, that the ternary Virasoro-Witt algebras of Curtright, Fairlie and Zachos, as well as the general ternary q-Virasoro-Witt algebras we construct, carry a structure of the ternary Hom-Nambu-Lie algebra for all values of the involved parameters.
Selection criteria in organic cattle breeding
Savić Mila; Dimitrijević Vladimir; Trailović Ružica; Vegara Mensur; Dimitrijević Blagoje; Bečkei Žolt; Petrujkić Branislav; Cojkić Aleksandar
2014-01-01
The central issue in process of organizing organic cattle breeding is the knowledge about specificities of this kind of production, good knowledge of breed characteristics (body composition, immune tolerance, expressed predisposition towards some diseases, production properties). Research centres, in collaboration with producers, have defined the essential features on which the selection programmes in organic cattle breeding are based on. Of the greatest im...
Magnesium Oxide Induced Metabolic Alkalosis in Cattle
Ogilvie, T. H.; Butler, D G; Gartley, C J; Dohoo, I R
1983-01-01
A study was designed to compare the metabolic alkalosis produced in cattle from the use of an antacid (magnesium oxide) and a saline cathartic (magnesium sulphate). Six, mature, normal cattle were treated orally with a magnesium oxide (MgO) product and one week later given a comparable cathartic dose of magnesium sulphate (MgSO4).
Effects of percutaneous needle liver biopsy on dairy cow behaviour
DEFF Research Database (Denmark)
Mølgaard, Lene; Damgaard, Birthe Marie; Bjerre-Harpøth, Vibeke;
2012-01-01
In cattle, percutaneous needle liver biopsy is used for scientific examination of liver metabolism. The impact of the biopsy procedure is, however, poorly investigated. Our aim was to examine the behaviour of dairy cows during and after liver biopsy. Data were collected from 18 dry cows....... Percutaneous needle liver biopsies (after administration of local anaesthesia (2% Procaine)) and blood samples were taken during restraining. During the control treatment, animals were restrained and blood sampled. During the biopsy procedure, cows showed increased restlessness (P = 0.008), frequency of head...... behavioural changes for up to 19 h – and particularly for behaviour previously associated with pain. Even though the exact welfare impact of percutaneous needle liver biopsies in cows is not known, and the magnitude of the behavioural changes was limited, pain always has negative effects on animal welfare...
Peanut by-products fed to cattle.
Hill, Gary M
2002-07-01
Peanut by-products supply substantial quantities of feedstuffs to beef cattle grown in the same region where peanuts are produced. Included in the list of products fed to cattle are peanuts and peanut meal, peanut skins, peanut hulls, peanut hay, and silages. Residual peanut hay is by far the most widely used peanut by-product fed to beef cattle, and if it is properly harvested with minimal leaf shatter, it is comparable to good-quality grass hays in nutrient content. Peanut skins are often included in small quantities in cattle and pet foods, supplying both protein and energy. High tannin content of peanut skins can cause severe performance depressions in beef cattle if peanut skins are included at levels higher than 10% of the diet, unless diets contain relatively high CP (above 15% CP), or additional N sources are added such as ammonia or urea. Because dairy cattle diets are often above 16% CP in the total dietary DM, peanut skins may increase milk production when added at levels up to 16% of the dry matter. Peanut hulls are effectively used as a roughage source at levels up to 20% of beef finishing diets, for bedding in dairy cattle loafing sheds (if tested and found to contain low aflatoxin levels), and in a variety of manufactured products. Peanut hulls are economically priced because of their quantity, their inherent high fiber, and low CP content, and they should not be fed as a primary feedstuffs for beef cattle. Peanut by-products are generally priced below other by-products, and they can be incorporated into a variety of supplements and diets for cow herds, growing-finishing cattle, and dairy cattle. PMID:12235662
Carbon Footprint of Beef Cattle
Jim Dyer; Darrel Cerkowniak; Dominique Maxime; Xavier P.C. Vergé; Devon E. Worth; Raymond L. Desjardins
2012-01-01
The carbon footprint of beef cattle is presented for Canada, The United States, The European Union, Australia and Brazil. The values ranged between 8 and 22 kg CO 2 e per kg of live weight (LW) depending on the type of farming system, the location, the year, the type of management practices, the allocation, as well as the boundaries of the study. Substantial reductions have been observed for most of these countries in the last thirty years. For instance, in Canada the mean carbon footprint of...
Interaction of environment and reproductive processes in cattle
International Nuclear Information System (INIS)
Effects of environment on reproductive processes of female cattle are described. Variation in fertility responses is divided into environmental and genetic effects. Environmental effects are defined as all effects non-genetic, and emphasis is placed on the quantitation of various climatic measurements (e.g. maximum environmental temperature) associated with reproductive performance. Sensitivities of various reproductive events to thermal stress are defined and include such responses as: reproductive behaviour; hormonal balance related to both reproductive events and metabolic adaptations; alterations in uterine blood flow; embryonic death; conceptus development; placental function; and restoration of postpartum reproductive function. Also discussed are several management strategies to improve animal productivity, including environmental modification and the potential for genetic development of less heat-sensitive animals. (author)
On squares of representations of compact Lie algebras
Energy Technology Data Exchange (ETDEWEB)
Zeier, Robert, E-mail: robert.zeier@ch.tum.de [Department Chemie, Technische Universität München, Lichtenbergstrasse 4, 85747 Garching (Germany); Zimborás, Zoltán, E-mail: zimboras@gmail.com [Department of Computer Science, University College London, Gower St., London WC1E 6BT (United Kingdom)
2015-08-15
We study how tensor products of representations decompose when restricted from a compact Lie algebra to one of its subalgebras. In particular, we are interested in tensor squares which are tensor products of a representation with itself. We show in a classification-free manner that the sum of multiplicities and the sum of squares of multiplicities in the corresponding decomposition of a tensor square into irreducible representations has to strictly grow when restricted from a compact semisimple Lie algebra to a proper subalgebra. For this purpose, relevant details on tensor products of representations are compiled from the literature. Since the sum of squares of multiplicities is equal to the dimension of the commutant of the tensor-square representation, it can be determined by linear-algebra computations in a scenario where an a priori unknown Lie algebra is given by a set of generators which might not be a linear basis. Hence, our results offer a test to decide if a subalgebra of a compact semisimple Lie algebra is a proper one without calculating the relevant Lie closures, which can be naturally applied in the field of controlled quantum systems.
On squares of representations of compact Lie algebras
International Nuclear Information System (INIS)
We study how tensor products of representations decompose when restricted from a compact Lie algebra to one of its subalgebras. In particular, we are interested in tensor squares which are tensor products of a representation with itself. We show in a classification-free manner that the sum of multiplicities and the sum of squares of multiplicities in the corresponding decomposition of a tensor square into irreducible representations has to strictly grow when restricted from a compact semisimple Lie algebra to a proper subalgebra. For this purpose, relevant details on tensor products of representations are compiled from the literature. Since the sum of squares of multiplicities is equal to the dimension of the commutant of the tensor-square representation, it can be determined by linear-algebra computations in a scenario where an a priori unknown Lie algebra is given by a set of generators which might not be a linear basis. Hence, our results offer a test to decide if a subalgebra of a compact semisimple Lie algebra is a proper one without calculating the relevant Lie closures, which can be naturally applied in the field of controlled quantum systems
Controllability of linear vector fields on Lie groups
International Nuclear Information System (INIS)
In this paper, we shall deal with a linear control system Σ defined on a Lie group G with Lie algebra g. The dynamic of Σ is determined by the drift vector field which is an element in the normalizer of g in the Lie algebra of all smooth vector field on G and by the control vectors which are elements in g considered as left-invariant vector fields. We characterize the normalizer of g identifying vector fields on G with C∞-functions defined on G into g. For this class of control systems we study algebraic conditions for the controllability problem. Indeed, we prove that if the drift vector field has a singularity then the Lie algebra rank condition is necessary for the controllability property, but in general this condition does not determine this property. On the other hand, we show that the rank (ad-rank) condition is sufficient for the controllability of Σ. In particular, we extend the fundamental Kalman's theorem when G is an Abelian connected Lie group. Our work is related with a paper of L. Markus and we also improve his results. (author). 7 refs
Four Lie algebras associated with R6 and their applications
Zhang, Yufeng; Tam, Honwah
2010-09-01
The first part in the paper reads that a three-dimensional Lie algebra is first introduced, whose corresponding loop algebra is constructed, for which isospectral problems are established. By employing zero curvature equations, a modified Kaup-Newell (mKN) soliton hierarchy of evolution equations is obtained. The corresponding hereditary operator and Hamiltonian structure are worked out, respectively. Then two types of enlarging semisimple Lie algebras isomorphic to the linear space R6 are followed to construct, one of them is a complex Lie algebra. Their corresponding loop algebras are also given so that two types of new isospectral problems are introduced to generate two kinds of integrable couplings of the above mKN hierarchy. The hereditary operators, Hamiltonian structures of the hierarchies are produced again, respectively. The exact computing formulas of the constant γ appearing in the trace identity and the variational identity are derived under the semisimple algebras. The second part of this paper is devoted to constructing two kinds of Lie algebras by using product of complex vectors, which are also isomorphic to the linear space R6. Then we make use of the corresponding loop algebras to produce two integrable hierarchies along with bi-Hamiltonian structures. From various aspects, we give some ways for constructing Lie algebras which have extensive applications in generating integrable Hamiltonian systems.
Transcranial Current Stimulation of the Temporoparietal Junction Improves Lie Detection.
Sowden, Sophie; Wright, Gordon R T; Banissy, Michael J; Catmur, Caroline; Bird, Geoffrey
2015-09-21
The ability to detect deception is of vital importance in human society, playing a crucial role in communication, cooperation, and trade between societies, businesses, and individuals. However, numerous studies have shown, remarkably consistently, that we are only slightly above chance when it comes to detecting deception. Here we investigate whether inconsistency between one's own opinion and the stated opinion of another impairs judgment of the veracity of that statement, in the same way that one's own mental, affective, and action states, when inconsistent, can interfere with representation of those states in another. Within the context of lie detection, individuals may be less accurate when judging the veracity of another's opinion when it is inconsistent with their own opinion. Here we present a video-mediated lie-detection task to confirm this prediction: individuals correctly identified truths or lies less often when the other's expressed opinion was inconsistent with their own (experiment 1). Transcranial direct current stimulation (tDCS) of the temporoparietal junction (TPJ) has previously been shown to improve the ability to selectively represent the self or another. We therefore predicted that TPJ stimulation would enable lie detectors to inhibit their own views, enhance those of the other, and improve their ability to determine whether another was presenting their true opinion. Experiment 2 confirmed this second prediction: anodal tDCS of the TPJ improved lie detection specifically when one's own and others' views were conflicting. PMID:26344092
Ombud’s Corner: a world without lies?
Sudeshna Datta-Cockerill
2016-01-01
Can a world without lies exist? Are there different types of lies, some more acceptable than others, or is that just an excuse that we use to justify ourselves? What consequences do lies have in the working environment? If we look in the dictionary for the definition of “lie”, we find: “A lie is a false statement made with deliberate intent to deceive”. This simple definition turns out to be very useful when we feel stuck in intricate conflict situations where we suspect lies to have played a role. Examples may include supervisors presenting a situation in different ways to different colleagues; colleagues withholding information that could be useful to others; reports given in a non-accurate way; and rumours that spread around but cannot be verified. Peter was very keen to lead a particular project. He spoke to his supervisor Philippe who told him that he had in fact already proposed him to the board. When he did not get the job, Peter shared h...
Directory of Open Access Journals (Sweden)
Cecília José Veríssimo
2013-12-01
Full Text Available The shearing operation can provide double benefits to the cattle: they can become more heat tolerant and the tick infestation decreases. The cattle tick Rhipicephalus (Boophilus microplus causes great losses to dairy cattle, especially to the Holstein cattle because they are very susceptible to this tick. Its control is becoming each day more difficult, owing to the increasing resistance to acaricides they are acquiring. The objective of this work was to study the growing of haircoat following shearing. We made our experiment with 17 animals, 7 females and 10 males. They were shaved on the anterior third (head, neck, dewlap, scapula and arm of one side, at random. The work was performed in two steps: they were shorn for the first time on August 2nd 2012, with a size 10 blade in a clipper Oster model GoldenA5, which left the fur coat 2 mm long. Then we evaluated the hair length growing by collecting fortnightly three sample of hairs in the middle of the scapula, with electric pliers, modified for this purpose, in both sides of the animals, sheared and non-sheared, until 30 days after this shearing. The three hair samples were put inside a little plastic bag per animal. Meanwhile, as we thought that the animals shearing had to be done closer to the skin, we decided to shear them again (in the same side shorn before, on October 2nd 2012. We changed our procedure using the same machine, but now with a blade size 30, which left the fur coat 1mm thick. After that, we collected again, fortnightly, samples of hairs on both sides during 2 months. The 10 longest hairs in the plastig bag were measured using a graph paper and the average per animal was calculated in each data and blade. A random design was applied for statistical analysis, the hair length of both sides, sheared and non sheared were compared by a two related samples tests – Wilcoxon, in a non parametric test, using the SPSSP 12.0 program, in each data within each blade. Using blade size
Computing nilpotent quotients in finitely presented Lie rings
Directory of Open Access Journals (Sweden)
Csaba Schneider
1997-12-01
Full Text Available A nilpotent quotient algorithm for finitely presented Lie rings over Z (and Q is described. The paper studies the graded and non-graded cases separately. The algorithm computes the so-called nilpotent presentation for a finitely presented, nilpotent Lie ring. A nilpotent presentation consists of generators for the abelian group and the products expressed as linear combinations for pairs formed by generators. Using that presentation the word problem is decidable in L. Provided that the Lie ring L is graded, it is possible to determine the canonical presentation for a lower central factor of L. Complexity is studied and it is shown that optimising the presentation is NP-hard. Computational details are provided with examples, timing and some structure theorems obtained from computations. Implementation in C and GAP interface are available.
Adaptive registration of diffusion tensor images on lie groups
Liu, Wei; Chen, LeiTing; Cai, HongBin; Qiu, Hang; Fei, Nanxi
2016-08-01
With diffusion tensor imaging (DTI), more exquisite information on tissue microstructure is provided for medical image processing. In this paper, we present a locally adaptive topology preserving method for DTI registration on Lie groups. The method aims to obtain more plausible diffeomorphisms for spatial transformations via accurate approximation for the local tangent space on the Lie group manifold. In order to capture an exact geometric structure of the Lie group, the local linear approximation is efficiently optimized by using the adaptive selection of the local neighborhood sizes on the given set of data points. Furthermore, numerical comparative experiments are conducted on both synthetic data and real DTI data to demonstrate that the proposed method yields a higher degree of topology preservation on a dense deformation tensor field while improving the registration accuracy.
Lie-series for orbital elements -- II. The spatial case
Pál, András
2016-01-01
If one has to attain high accuracy over long timescales during the numerical computation of the N-body problem, the method called Lie-integration is one of the most effective algorithms. In this paper we present a set of recurrence relations with which the coefficients needed by the Lie-integration of the orbital elements related to the spatial N-body problem can be derived up to arbitrary order. Similarly to the planar case, these formulae yields identically zero series in the case of no perturbations. In addition, the derivation of the formulae has two stages, analogously to the planar problem. Namely, the formulae are obtained to the first order, and then, higher order relations are expanded by involving directly the multilinear and fractional properties of the Lie-operator.
Adaptive registration of diffusion tensor images on lie groups
Liu, Wei; Chen, LeiTing; Cai, HongBin; Qiu, Hang; Fei, Nanxi
2016-06-01
With diffusion tensor imaging (DTI), more exquisite information on tissue microstructure is provided for medical image processing. In this paper, we present a locally adaptive topology preserving method for DTI registration on Lie groups. The method aims to obtain more plausible diffeomorphisms for spatial transformations via accurate approximation for the local tangent space on the Lie group manifold. In order to capture an exact geometric structure of the Lie group, the local linear approximation is efficiently optimized by using the adaptive selection of the local neighborhood sizes on the given set of data points. Furthermore, numerical comparative experiments are conducted on both synthetic data and real DTI data to demonstrate that the proposed method yields a higher degree of topology preservation on a dense deformation tensor field while improving the registration accuracy.
Extensions of Lie-Rinehart algebras and cotangent bundle reduction
Huebschmann, Johannes
2008-01-01
Let Q be a smooth manifold acted upon smoothly by a Lie group G, and let N be the space of G-orbits. The G-action lifts to an action on the total space T of the cotangent bundle of Q and hence on the ordinary symplectic Poisson algebra of smooth functions on T, and the Poisson algebra of G-invariant functions on T yields a Poisson structure on the space T/G of G-orbits. We develop a description of this Poisson structure in terms of the orbit space N and suitable additional data. When the G-action on Q is principal, the problem admits a simple solution in terms of extensions of Lie-Rinehart algebras. In the general case, extensions of Lie-Rinehart algebras do not suffice, and we show how the requisite supplementary information can be recovered from invariant theory.
The BRST complex and the cohomology of compact Lie algebras
International Nuclear Information System (INIS)
We construct the BRST and anti-BRST operator for a compact Lie algebra which is a direct sum of abelian and simple ideals. Two different inner products are defined on the ghost space and the hermiticity properties of the ghost and BRST operators with respect to these inner products are discussed. A decomposition theorem for ghost states is derived and the cohomology of the BRST complex is shown to reduce to the standard Lie-algebra cohomology. We show that the cohomology classes of the Lie algebra are given by all invariant anti-symmetric tensors and explain how these can be obtained as zero modes of an invariant operator in the representation space of the ghosts. Explicit examples are given. (orig.)
Prospects of functional magnetic resonance imaging as lie detector.
Rusconi, Elena; Mitchener-Nissen, Timothy
2013-01-01
Following the demise of the polygraph, supporters of assisted scientific lie detection tools have enthusiastically appropriated neuroimaging technologies "as the savior of scientifically verifiable lie detection in the courtroom" (Gerard, 2008: 5). These proponents believe the future impact of neuroscience "will be inevitable, dramatic, and will fundamentally alter the way the law does business" (Erickson, 2010: 29); however, such enthusiasm may prove premature. For in nearly every article published by independent researchers in peer reviewed journals, the respective authors acknowledge that fMRI research, processes, and technology are insufficiently developed and understood for gatekeepers to even consider introducing these neuroimaging measures into criminal courts as they stand today for the purpose of determining the veracity of statements made. Regardless of how favorable their analyses of fMRI or its future potential, they all acknowledge the presence of issues yet to be resolved. Even assuming a future where these issues are resolved and an appropriate fMRI lie-detection process is developed, its integration into criminal trials is not assured for the very success of such a future system may necessitate its exclusion from courtrooms on the basis of existing legal and ethical prohibitions. In this piece, aimed for a multidisciplinary readership, we seek to highlight and bring together the multitude of hurdles which would need to be successfully overcome before fMRI can (if ever) be a viable applied lie detection system. We argue that the current status of fMRI studies on lie detection meets neither basic legal nor scientific standards. We identify four general classes of hurdles (scientific, legal and ethical, operational, and social) and provide an overview on the stages and operations involved in fMRI studies, as well as the difficulties of translating these laboratory protocols into a practical criminal justice environment. It is our overall conclusion
Prospects of functional Magnetic Resonance Imaging as lie detector
Directory of Open Access Journals (Sweden)
Elena eRusconi
2013-09-01
Full Text Available Following the demise of the polygraph, supporters of assisted scientific lie detection tools have enthusiastically appropriated neuroimaging technologies as the savior of scientifically verifiable lie detection in the courtroom (Gerard, 2008: 5; however, such enthusiasm may prove premature. For in nearly every article published by independent researchers in peer reviewed journals, the respective authors acknowledge that fMRI research, processes, and technology are insufficiently developed and understood for gatekeepers to even consider introducing these neuroimaging measures into criminal courts as they stand today for the purpose of determining the veracity of statements made. Regardless of how favorable their analyses of fMRI or its future potential, they all acknowledge the presence of issues yet to be resolved. Even assuming a future where these issues are resolved and an appropriate fMRI lie-detection process is developed, its integration into criminal trials is not assured for the very success of such a future system may necessitate its exclusion from courtrooms on the basis of existing legal and ethical prohibitions. In this piece, aimed for a multidisciplinary readership, we seek to highlight and bring together the multitude of hurdles which would need to be successfully overcome before fMRI can (if ever be a viable applied lie detection system. We argue that the current status of fMRI studies on lie detection meets neither basic legal nor scientific standards. We identify four general classes of hurdles (scientific, legal and ethical, operational, and social and provide an overview on the stages and operations involved in fMRI studies, as well as the difficulties of translating these laboratory protocols into a practical criminal justice environment. It is our overall conclusion that fMRI is unlikely to constitute a viable lie detector for criminal courts.
Wolfger, B; Mang, A V; Cook, N; Orsel, K; Timsit, E
2015-08-01
Behavioral observations are important to detect illness in beef cattle. However, traditional observation techniques are time and labor intensive and may be subjective. The objective was to validate a system for monitoring individual feeding behavior and activity in beef cattle (Fedometer [FEDO]; ENGS, Rosh Pina, Israel). Sixteen steers (initial BW ± SD = 326 ± 46 kg) were fitted with data loggers (FEDO) on their left front leg and housed in a pen with a feedbunk equipped with an antenna emitting an electromagnetic field that reached 30 ± 2 cm in front of the feedbunk. Feedbunk attendance (duration of visit and frequency of meals) measured by FEDO was compared with live observations (27 observational periods lasting between 72 and 240 min; mean 126 min). Lying time and frequency of lying bouts were compared with previously validated accelerometers fitted to the hind leg (10 steers equipped for 10 to 12 d; HOBO Pendant G Acceleration Data Logger [HOBO]; Onset Computer Corporation, Pocasset, MA). Step counts were compared with video recordings (15 observations for 6-min intervals in 6 steers). Concordance correlation coefficients (CCC), accounting for repeated measures, and limits of agreement were computed. Comparison between FEDO and observed time at the feedbunk yielded a CCC of 0.98 (95% confidence interval [CI] 0.97-0.99). All 68 meal events observed were recorded by FEDO. However, FEDO recorded 4 meal events during the 27 observational periods that were not observed. Lying time measured by HOBO and FEDO were highly correlated (CCC = 0.98; 95% CI 0.97-0.99). However, frequency of lying bouts measured by FEDO was only moderately correlated to HOBO (CCC = 0.71; 95% CI 0.63-0.77); FEDO underestimating the number of lying bouts (on average, 0.4 fewer bouts per 6 h). Step count by FEDO was moderately correlated to video observations (CCC = 0.75; 95% CI 0.49-0.89); FEDO overestimating the number of steps (on average, 5 more steps per 6 min). In conclusion, the FEDO
Mycotoxins in pathophysiology of cattle diet
Directory of Open Access Journals (Sweden)
Mašić Zoran
2003-01-01
Full Text Available Depending on the age and production category, cattle show different sensitivity towards certain mycotoxins. Microflora of the rumen degrades to a different degree and inactivates mycotoxins. In the work are presented the most important mycotoxicoses of cattle caused by fungal metabolites from the genera Fusarium, Aspergillus and Penicillium. Poisoning of cattle in our area is most often caused by Zearalenone, Dioxinivalenol, T-2 toxin, Ochratoxin A and Aflatoxin, but in the work are also presented Fumonisin B1 and B2. The work also describes preventive possibilities and protection of animal health from the effects of mycotoxins.
[Killing of cattle via electrical stunning].
Maurer, B; Forster, S
2007-04-01
For disease control in the case of epidemics killing of cattle via electrical stunning is a method of choice. The official veterinarian is responsible for monitoring the adhesion to animal welfare principles during electrical stunning and killing. This requires specialised knowledge and experience as the symptoms of effective stunning are quite variable in cattle. Signs of effective and ineffective stunning are described below. In addition to suitable technical equipment, restraint of the animals and correct use of the equipment, neurophysiological processes have to be considered. Calm handling of the animals avoiding stress is a prerequisite for ensuring animal welfare and minimising pain especially when killing cattle using electrical methods. PMID:17484500
Deformation of orthosymplectic Lie superalgebra osp(1 vertical bar 4)
Energy Technology Data Exchange (ETDEWEB)
Celeghini, Enrico [Dipartimento di Fisica, Universita di Firenze and INFN Sezione di Firenze, Via G Sansone 1, Sesto, 50019, Florence (Italy); Kulish, Petr P [St Petersburg Department of Steklov Mathematical Institute, Fontanka 27, St Petersburg 191023 (Russian Federation)
2004-05-21
Triangular deformation of the orthosymplectic Lie superalgebra osp(1 vertical bar 4) is defined by chains of twists. The corresponding classical r-matrix is obtained by a contraction procedure from the trigonometric r-matrix. The carrier space of the constant r-matrix and the twist element is the Borel subalgebra. The known super-Jordanian twist of osp(1 vertical bar 2) is generalized as an extended twist to the orthosymplectic Lie superalgebras of higher rank. The dimension of the cobracket kernel is related to the number of generators with primitive twisted coproduct of the deformed algebra. (letter to the editor)
[Pseudologia fantastica. Recognition and treatment of pathological lying].
Groen, Wouter B; The, Gerard K H; Pop-Purceleanu, Monica; Lagro-Janssen, Toine; Fortuyn, Hal A Droogleever; Voshaar, Richard C Oude
2009-01-01
Although a clear definition of pseudologia fantastica cannot be found in the literature, there is consensus that this condition differs quantitatively and qualitatively from 'normal lying'. We discuss recognition of pseudologia fantastica based on 2 patients who presented with suicidal ideations at the casualty department following a traumatic event. Early recognition is important in order to break the pattern of lying, to restrict the use of medical resources and, finally, to act in accordance with the general principle of 'primum-non-nocere'. Although a psychiatric diagnostic workup might be worthwhile, it remains difficult to engage these patients for psychiatric treatment. PMID:20051176
Deformation of orthosymplectic Lie superalgebra osp(1 vertical bar 4)
International Nuclear Information System (INIS)
Triangular deformation of the orthosymplectic Lie superalgebra osp(1 vertical bar 4) is defined by chains of twists. The corresponding classical r-matrix is obtained by a contraction procedure from the trigonometric r-matrix. The carrier space of the constant r-matrix and the twist element is the Borel subalgebra. The known super-Jordanian twist of osp(1 vertical bar 2) is generalized as an extended twist to the orthosymplectic Lie superalgebras of higher rank. The dimension of the cobracket kernel is related to the number of generators with primitive twisted coproduct of the deformed algebra. (letter to the editor)
Observability of linear control systems on Lie groups
International Nuclear Information System (INIS)
In this paper, we study the observability problem for a linear control system Σ on a Lie group G. The drift vector field of Σ is an infinitesimal automorphism of G and the control vectors are elements in the Lie algebra of G. We establish algebraic conditions to characterize locally and globally observability for Σ. As in the linear case on Rn, these conditions are independent of the control vector. We give an algorithm on the co-tangent bundle of G to calculate the equivalence class of the neutral element. (author). 6 refs
Lie Groupoids in Classical Field Theory I: Noether's Theorem
Costa, Bruno T; Pêgas, Luiz Henrique P
2015-01-01
In the two papers of this series, we initiate the development of a new approach to implementing the concept of symmetry in classical field theory, based on replacing Lie groups/algebras by Lie groupoids/algebroids, which are the appropriate mathematical tools to describe local symmetries when gauge transformations are combined with space-time transformations. Here, we outline the basis of the program and, as a first step, show how to (re)formulate Noether's theorem about the connection between symmetries and conservation laws in this approach.
Some properties on the tensor square of Lie algebras
Niroomand, Peyman
2010-01-01
In the present paper we extend and improve the results of \\cite{bl, br} for the tensor square of Lie algebras. More precisely, for any Lie algebra $L$ with $L/L^2$ of finite dimension, we prove $L\\otimes L\\cong L\\square L\\oplus L\\wedge L$ and $Z^{\\wedge}(L)\\cap L^2=Z^{\\otimes}(L)$. Moreover, we show that $L\\wedge L$ is isomorphic to derived subalgebra of a cover of $L$, and finally we give a free presentation for it.
A Lie group formulation of Kane's equations for multibody systems
International Nuclear Information System (INIS)
We propose a Lie group approach to formulate the Kane's equations of motion for multibody systems. This approach regards the set of rigid body transformations as the special Euclidean group SE(3). By expressing rigid body displacements as exponential maps generated from the Lie algebra se(3), it subsequently manipulates rigid body kinematics as convenient matrix operations. With this approach, all the individual quantities involved in Kane's equations can be computed explicitly in an intrinsic manner, and the motion equations can be obtained systematically and efficiently. An example is presented to illustrate its use and effectiveness
Ideals and primitive elements of some relatively free Lie algebras.
Ekici, Naime; Esmerligil, Zerrin; Ersalan, Dilek
2016-01-01
Let F be a free Lie algebra of finite rank over a field K. We prove that if an ideal [Formula: see text] of the algebra [Formula: see text] contains a primitive element [Formula: see text] then the element [Formula: see text] is primitive. We also show that, in the Lie algebra [Formula: see text] there exists an element [Formula: see text] such that the ideal [Formula: see text] contains a primitive element [Formula: see text] but, [Formula: see text] and [Formula: see text] are not conjugate by means of an inner automorphism. PMID:27386282
Second cohomology of Lie rings and the Schur multiplier
Directory of Open Access Journals (Sweden)
Max Horn
2014-06-01
Full Text Available We exhibit an explicit construction for the second cohomology group$H^2(L, A$ for a Lie ring $L$ and a trivial $L$-module $A$.We show how the elements of $H^2(L, A$ correspond one-to-one to theequivalence classes of central extensions of $L$ by $A$, where $A$now is considered as an abelian Lie ring. For a finite Liering $L$ we also show that $H^2(L, C^* cong M(L$, where $M(L$ denotes theSchur multiplier of $L$. These results match precisely the analoguesituation in group theory.
Czech Academy of Sciences Publication Activity Database
Chroňáková, Alica; Radl, V.; Čuhel, Jiří; Gattinger, A.; Šimek, Miloslav; Elhottová, Dana; Schloter, M.
Braunschweig : Bba - Federal Biological Research Centre for Agriculture and Forestry, 2007. s. 159-160. [Symposium on Bacterial Genetics and Ecology. BAGECO 9. Microbial Community Networks /9./. 23.06.2007-27.06.2007, Wernigerode] Institutional research plan: CEZ:AV0Z60660521 Keywords : cattle grazing and trampling activities * nitrifying and denitrifying microbial communities * upland soil Subject RIV: EH - Ecology, Behaviour
Genetic diversity and relationship of Yunnan native cattle breeds and introduced beef cattle breeds.
Yu, Ying; Lian, Lin-Sheng; Wen, Ji-Kun; Shi, Xian-Wei; Zhu, Fang-Xian; Nie, Long; Zhang, Ya-Ping
2004-02-01
In this study, random amplified polymorphic DNA (RAPD) analysis was used to estimate genetic diversity and relationship in 134 samples belonging to two native cattle breeds from the Yunnan province of China (DeHong cattle and DiQing cattle) and four introduced beef cattle breeds (Brahman, Simmental, MurryGrey, and ShortHorn). Ten primers were used, and a total of 84 bands were scored, of which 63 bands (75.0%) were polymorphic. The genetic distance matrix was obtained by proportions of shared fragment. The results indicate that the Yunnnan DeHong cattle breed is closely related to the Brahman (Bos indicus), and the Yunnan DiQing cattle breed is closely related to the Simmental, ShortHorn, and MurryGrey (Bos taurus) breeds. Our results imply that Bos indicus and Bos taurus were the two main origins of Yunnan native cattle. The results also provide the basic genetic materials for conservation of cattle resources and crossbreeding of beef cattle breeds in South China. PMID:15068334
Tell me sweet little lies: An event-related potentials study on the processing of social lies.
Moreno, Eva M; Casado, Pilar; Martín-Loeches, Manuel
2016-08-01
In reading tasks, words that convey a false statement elicit an enhanced N400 brainwave response, relative to words that convey a true statement. N400 amplitude reductions are generally linked to the online expectancy of upcoming words in discourse. White lies, contrary to false statements, may not be unexpected in social scenarios. We used the event-related potential (ERP) technique to determine whether there is an impact of social context on sentence processing. We measured ERP responses to target words that either conveyed a social "white" lie or a socially impolite blunt truth, relative to semantic violations. Word expectancy was controlled for by equating the cloze probabilities of white lying and blunt true targets, as measured in previous paper-and-pencil tests. We obtained a classic semantic violation effect (a larger N400 for semantic incongruities relative to sense making statements). White lies, in contrast to false statements, did not enhance the amplitude of the N400 component. Interestingly, blunt true statements yielded both a late frontal positivity and an N400 response in those scenarios particularly biased to white lying. Thus, white lies do not interfere with online semantic processing, and they do not engage further reanalysis processes, which are typically indexed by subsequent late positivity ERP effects. Instead, an N400 and a late frontal positivity obtained in response to blunt true statements indicate that they were treated as unexpected events. In conclusion, unwritten rules of social communicative behavior influence the electrical brain response to locally coherent but socially inappropriate statements. PMID:27007770
On the History of Cattle Genetic Resources
Directory of Open Access Journals (Sweden)
Marleen Felius
2014-11-01
Full Text Available Cattle are our most important livestock species because of their production and role in human culture. Many breeds that differ in appearance, performance and environmental adaptation are kept on all inhabited continents, but the historic origin of the diverse phenotypes is not always clear. We give an account of the history of cattle by integrating archaeological record and pictorial or written sources, scarce until 300 years ago, with the recent contributions of DNA analysis. We describe the domestication of their wild ancestor, migrations to eventually all inhabited continents, the developments during prehistory, the antiquity and the Middle Ages, the relatively recent breed formation, the industrial cattle husbandry in the Old and New World and the current efforts to preserve the cattle genetic resources. Surveying the available information, we propose three main and overlapping phases during the development of the present genetic diversity: (i domestication and subsequent wild introgression; (ii natural adaptation to a diverse agricultural habitat; and (iii breed development.
Homotopy commutative algebra and 2-nilpotent Lie algebra
Dubois-Violette, Michel; Popov, Todor
2012-01-01
The homotopy transfer theorem due to Tornike Kadeishvili induces the structure of a homotopy commutative algebra, or $C_{\\infty}$-algebra, on the cohomology of the free 2-nilpotent Lie algebra. The latter $C_{\\infty}$-algebra is shown to be generated in degree one by the binary and the ternary operations.
Classical mechanics on noncommutative space with Lie-algebraic structure
International Nuclear Information System (INIS)
Highlights: → Suggest a useful method to look for new Lie-algebraic noncommutative spaces. → Find out two new Lie-algebraic noncommutative spaces. → Derive Newton and Hamilton equations that present unimaginable extra forces. → Analyse the source of unimaginable extra forces from space noncummutativity. → Provide various intriguing classical trajectories. - Abstract: We investigate the kinetics of a nonrelativistic particle interacting with a constant external force on a Lie-algebraic noncommutative space. The structure constants of a Lie algebra, also called noncommutative parameters, are constrained in general due to some algebraic properties, such as the antisymmetry and Jacobi identity. Through solving the constraint equations the structure constants satisfy, we obtain two new sorts of algebraic structures, each of which corresponds to one type of noncommutative spaces. Based on such types of noncommutative spaces as the starting point, we analyze the classical motion of the particle interacting with a constant external force by means of the Hamiltonian formalism on a Poisson manifold. Our results not only include that of a recent work as our special cases, but also provide new trajectories of motion governed mainly by marvelous extra forces. The extra forces with the unimaginable tx-dot-,(xx-dot)-, and (xx-double dot)-dependence besides with the usual t-, x-, and x-dot-dependence, originating from a variety of noncommutativity between different spatial coordinates and between spatial coordinates and momenta as well, deform greatly the particle's ordinary trajectories we are quite familiar with on the Euclidean (commutative) space.
Lying-Over Theorem on Left Commutative Rngs
Liu, Keqin
2005-01-01
We introduce the notion of a graded integral element, prove the counterpart of the lying-over theorem on commutative algebra in the context of left commutative rngs, and use the Hu-Liu product to select a class of noncommutative rings.
Integration formula for Brownian motion on classical compact Lie groups
Dahlqvist, Antoine
2012-01-01
We give new formulas for the moments of the entries of a random matrix whose law is a Brownian motion on a classical compact Lie group. As we let the time go to infinity, these formulas imply the one B. Collins and P. Sniady obtained for Haar measure.
A CLINICAL STUDY OF OUTCOME OF LABOUR IN TRANSVERSE LIE
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Vijayalakshmi
2015-08-01
Full Text Available Transverse lie complicates approximately 0.5% of birth and may result in neglected or impacted shoulder presentation leading to obstructed labour, rupture uterus and postpartum haemorrhage which may result in death of the mother, if not adequately managed in labour . A prospective observational study done in VI MS B ellary, Karnataka, aim of the study was to know the maternal and fetal outcome, to study caesarean rate, maternal and neonatal complications following caesarean. Objective of the study is to analyse the various modes of outcome of transverse lie to kno w the fetal and maternal mortality and morbidity , to improve the conditions which decreases these rates and guide us for better management of these cases. Out of 6116 deliveries100 cases were transverse lie during 2year period from April 1999 to January 20 01. Out of 100 cases , 76 were caesarean sections, 48 were live births, 7 were neonatal deaths, 45 were still births. Maternal morbidity was 2 cases required subtotal hysterectomy. There were no maternal deaths. Elective caesarean section should be advised in all booked cases with transverse lie at term, after ruling out congenital anomalies of the fetus by anomaly scan.
On the geometry underlying a real Lie algebra representation
Le-Bert, Rodrigo Vargas
2012-01-01
Let $G$ be a real Lie group with Lie algebra $\\mathfrak g$. Given a unitary representation $\\pi$ of $G$, one obtains by differentiation a representation $d\\pi$ of $\\mathfrak g$ by unbounded, skew-adjoint operators. Representations of $\\mathfrak g$ admitting such a description are called \\emph{integrable,} and they can be geometrically seen as the action of $\\mathfrak g$ by derivations on the algebra of representative functions $g\\mapsto$, which are naturally defined on the homogeneous space $M=G/\\ker\\pi$. In other words, integrable representations of a real Lie algebra can always be seen as realizations of that algebra by vector fields on a homogeneous manifold. Here we show how to use the coproduct of the universal enveloping algebra of $\\mathfrak g$ to generalize this to representations which are not necessarily integrable. The geometry now playing the role of $M$ is a locally homogeneous space. This provides the basis for a geometric approach to integrability questions regarding Lie algebra representations...
Classification of Simple Lie Algebras on a Lattice
Iohara, Kenji; Mathieu, Olivier
2011-01-01
International audience Let $\\Lambda$ be a lattice of rank $n$. In this article, we classify all $\\Lambda$-graded Lie algebras ${\\cal L}=\\bigoplus_{\\lambda \\in \\Lambda}{\\cal L}_\\lambda$ such that ${\\cal L}$ is simple-graded and that $\\dim {\\cal L}_\\lambda=1$ for all $\\lambda \\in \\Lambda$.
Lie-theoretic generating relations of two variable Laguerre polynomials
International Nuclear Information System (INIS)
Generating relations involving two variable Lagneire polynonuals Ln(x, y) are derived. The process involves the construction of a three dimensional Lie algebra isomorphic to special linear algebra sl(2) with the help of Weisner's method by giving suitable interpretations to the index n of the polynomials Ln(x, y). (author)
A non regular Fr\\"olicher Lie group of diffeomorphisms
Magnot, Jean-Pierre
2011-01-01
We show that a group of diffeomorphisms $\\D$ on the open unit interval $I,$ equipped with the topology of uniform convergence on any compact set of the derivatives at any order, is non regular: the exponential map is not defined for some path of the Lie algebra. The non integrable path that we exhibit appears also as a trivial solution of the Burger's equation.
Fixed Points of -Endomorphisms of a Free Metabelian Lie Algebra
Indian Academy of Sciences (India)
Naime Ekici; Demet Parlak Sönmez
2011-11-01
Let be a free metabelian Lie algebra of finite rank at least 2. We show the existence of non-trivial fixed points of an -endomorphism of and give an algorithm detecting them. In particular, we prove that the fixed point subalgebra Fix of an -endomorphism of is not finitely generated.
Lie Algebraic Treatment of Linear and Nonlinear Beam Dynamics
Energy Technology Data Exchange (ETDEWEB)
Alex J. Dragt; Filippo Neri; Govindan Rangarajan; David Douglas; Liam M. Healy; Robert D. Ryne
1988-12-01
The purpose of this paper is to present a summary of new methods, employing Lie algebraic tools, for characterizing beam dynamics in charged-particle optical systems. These methods are applicable to accelerator design, charged-particle beam transport, electron microscopes, and also light optics. The new methods represent the action of each separate element of a compound optical system, including all departures from paraxial optics, by a certain operator. The operators for the various elements can then be concatenated, following well-defined rules, to obtain a resultant operator that characterizes the entire system. This paper deals mostly with accelerator design and charged-particle beam transport. The application of Lie algebraic methods to light optics and electron microscopes is described elsewhere (1, see also 44). To keep its scope within reasonable bounds, they restrict their treatment of accelerator design and charged-particle beam transport primarily to the use of Lie algebraic methods for the description of particle orbits in terms of transfer maps. There are other Lie algebraic or related approaches to accelerator problems that the reader may find of interest (2). For a general discussion of linear and nonlinear problems in accelerator physics see (3).
Lie Symmetry Analysis of the Hopf Functional-Differential Equation
Directory of Open Access Journals (Sweden)
Daniel D. Janocha
2015-08-01
Full Text Available In this paper, we extend the classical Lie symmetry analysis from partial differential equations to integro-differential equations with functional derivatives. We continue the work of Oberlack and Wacławczyk (2006, Arch. Mech. 58, 597, (2013, J. Math. Phys. 54, 072901, where the extended Lie symmetry analysis is performed in the Fourier space. Here, we introduce a method to perform the extended Lie symmetry analysis in the physical space where we have to deal with the transformation of the integration variable in the appearing integral terms. The method is based on the transformation of the product y(xdx appearing in the integral terms and applied to the functional formulation of the viscous Burgers equation. The extended Lie symmetry analysis furnishes all known symmetries of the viscous Burgers equation and is able to provide new symmetries associated with the Hopf formulation of the viscous Burgers equation. Hence, it can be employed as an important tool for applications in continuum mechanics.
Algebraic Ricci Solitons of three-dimensional Lorentzian Lie groups
Batat, Wafaa
2011-01-01
We classify Algebraic Ricci Solitons of three-dimensional Lorentzian Lie groups. All algebraic Ricci solitons that we obtain are sol-solitons. In particular, we prove that, contrary to the Riemannian case, Lorentzian Ricci solitons need not to be algebraic Ricci solitons.
The Lie algebra of the N=2-string
Energy Technology Data Exchange (ETDEWEB)
Kugel, K.
2006-07-01
The theory of generalized Kac-Moody algebras is a generalization of the theory of finite dimensional simple Lie algebras. The physical states of some compactified strings give realizations of generalized Kac-Moody algebras. For example the physical states of a bosonic string moving on a 26 dimensional torus form a generalized Kac-Moody algebra and the physical states of a N=1 string moving on a 10 dimensional torus form a generalized Kac-Moody superalgebra. A natural question is whether the physical states of the compactified N=2-string also realize such an algebra. In this thesis we construct the Lie algebra of the compactified N=2-string, study its properties and show that it is not a generalized Kac-Moody algebra. The Fock space of a N=2-string moving on a 4 dimensional torus can be described by a vertex algebra constructed from a rational lattice of signature (8,4). Here 6 coordinates with signature (4,2) come from the matter part and 6 coordinates with signature (4,2) come from the ghost part. The physical states are represented by the cohomology of the BRST-operator. The vertex algebra induces a product on the vector space of physical states that defines the structure of a Lie algebra on this space. This Lie algebra shares many properties with generalized Kac-Moody algebra but we will show that it is not a generalized Kac-Moody algebra. (orig.)
Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras
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Luigi Accardi
2009-05-01
Full Text Available The present paper reviews some intriguing connections which link together a new renormalization technique, the theory of *-representations of infinite dimensional *-Lie algebras, quantum probability, white noise and stochastic calculus and the theory of classical and quantum infinitely divisible processes.
Derivations as Homomorphisms or Anti-homomorphisms on Lie Ideals
Institute of Scientific and Technical Information of China (English)
Yu WANG; Hong YOU
2007-01-01
Let R be a 2-torsion free prime ring, Z the center of R,and U a nonzero Lie ideal of R.If d is a derivation of R which acts as a homomorphism or an anti-homomorphism on U, then either d=0 or U(∈)Z.This result improves a theorem of Asma, Rehman,and Shakir.
Phantoms and Fabrications: Young Children's Detection of Implausible Lies.
Lee, Kang; Cameron, Catherine Ann; Doucette, Joanne; Talwar, Victoria
2002-01-01
Five experiments examined whether young children believe a lie tellers' implausible statement about a misdeed when the statement violates their developing knowledge of the reality- fantasy distinction. Findings suggested that 5- and 6-year-olds tended to report that the individual making the implausible statement actually committed the misdeed; 3-…
On Approximation of Lie Groups by Discrete Subgroups
Indian Academy of Sciences (India)
Hatem Hamrouni; Salah Souissi
2014-02-01
A locally compact group is said to be approximated by discrete sub-groups (in the sense of Tôyama) if there is a sequence of discrete subgroups of that converges to in the Chabauty topology (or equivalently, in the Vietoris topology). The notion of approximation of Lie groups by discrete subgroups was introduced by Tôyama in Kodai Math. Sem. Rep. 1 (1949) 36–37 and investigated in detail by Kuranishi in Nagoya Math. J. 2 (1951) 63–71. It is known as a theorem of Tôyama that any connected Lie group approximated by discrete subgroups is nilpotent. The converse, in general, does not hold. For example, a connected simply connected nilpotent Lie group is approximated by discrete subgroups if and only if has a rational structure. On the other hand, if is a discrete uniform subgroup of a connected, simply connected nilpotent Lie group then is approximated by discrete subgroups $_n$ containing . The proof of the above result is by induction on the dimension of , and gives an algorithm for inductively determining $_n$. The purpose of this paper is to give another proof in which we present an explicit formula for the sequence $(_n)_{n≥ 0}$ in terms of . Several applications are given.
Exceptional Lie Groups, E-infinity Theory and Higgs Boson
El-Okaby, Ayman A
2007-01-01
In this paper, we study the correlation between the exceptional lie groups and El-Naschie's transfinite E-infinity spacetime theory. Subsequently this is used to calculate the number of elementary particles in the standard model, mass of the Higgs boson and some coupling constants.
Sub-Riemannian geometry and Lie groups. Part I
Buliga, Marius
2002-01-01
These pages covers my expository talks during the seminar "Sub-Riemannian geometry and Lie groups" organised by the author and Tudor Ratiu at the Mathematics Department, EPFL, 2001. However, this is the first part of three, in preparation, dedicated to this subject. It covers, with mild modifications, an elementary introduction to the field.
Algebraic K-theory of discrete subgroups of Lie groups.
Farrell, F T; Jones, L E
1987-05-01
Let G be a Lie group (with finitely many connected components) and Gamma be a discrete, cocompact, torsion-free subgroup of G. We rationally calculate the algebraic K-theory of the integral group ring ZGamma in terms of the homology of Gamma with trivial rational coefficients. PMID:16593834
An Algorithm for the Decomposition of Semisimple Lie Algebras
Graaf, W.A. de
2001-01-01
We consider the problem of decomposing a semisimple Lie algebra dened over a eld of characteristic zero as a direct sum of its simple ideals The method is based on the decomposition of the action of a Cartan subalgebra An implementation of the algorithm in the system ELIAS is discussed at the end of
Classification of complex simple Lie algebras via projective geometry geometry
Landsberg, J. M.; Manivel, Laurent
1999-01-01
We present a new proof of the classification of complex simple Lie algebras via the projective geometry of homogeneous varieties. Our proof proceeds by constructing homogeneous varieties using the ideals of the secant and tangential varieties of homogeneous varieties already constructed. Our algorithms make no reference to root systems. Our proofs use properties of root systems, but not their classification.
Exceptional Lie groups, E-infinity theory and Higgs Boson
International Nuclear Information System (INIS)
In this paper we study the correlation between El-Naschie's exceptional Lie groups hierarchies and his transfinite E-infinity space-time theory. Subsequently this correlation is used to calculate the number of elementary particles in the standard model, mass of the Higgs Bosons and some coupling constants
On Equivalence of Two Realizations for a Nonlinear Lie Algebra
Institute of Scientific and Technical Information of China (English)
阳星; 寻大毛; 荣小平; 单磊; 刘全慧
2012-01-01
Recently,there are two independent approaches related to a class of nonlinear Lie algebras of three generators;and the realizations of these generators are achieved respectively in Schwinger-boson and position representation.However,by use of the representation transformation between these two representations,the equivalence of the two realizations is therefore proved.
Weyl ordering rule and new Lie bracket of quantum mechanics
Rakic, Z; Rakic, Zoran; Prvanovic, Slobodan
2003-01-01
The product of quantum mechanics is defined as the ordinary multiplication followed by the application of superoperator that orders involved operators. The operator version of Poisson bracket is defined being the Lie bracket which substitutes commutator in the von Neumann equation. These result in obstruction free quantization, with the ordering rule which coincides with Weyl ordering rule.
Age and body weight of Moroccan local cattle at puberty: Effect of season
International Nuclear Information System (INIS)
Moroccan local cattle are a distinct breed comprising almost 90% of the total cattle population of 2.5 million. The age and the body weight of some 1662 heifers attaining puberty were determined under two production systems by monitoring plasma progesterone levels as an indicator of the first ovulation. The effect of season on these parameters was also studied. Ovarian cyclicity commenced in 50% of heifers by the age of 16.5 months and at a body weight of 144 kg (70% of the mature body weight). The time of puberty was correlated with both age and body weight and was influenced by both the season of the year at which puberty was reached and the system of rearing. The mean age at which behavioural oestrus was first observed and the heifer inseminated was 26.5 months. Fifty per cent of 546 heifers were pregnant by 27 months of age. (author). 18 refs, 7 figs
Validation of Deleterious Mutations in Vorderwald Cattle.
Reinartz, Sina; Distl, Ottmar
2016-01-01
In Montbéliarde cattle two candidate mutations on bovine chromosomes 19 and 29 responsible for embryonic lethality have been detected. Montbéliarde bulls have been introduced into Vorderwald cattle to improve milk and fattening performance. Due to the small population size of Vorderwald cattle and the wide use of a few Montbéliarde bulls through artificial insemination, inbreeding on Montbéliarde bulls in later generations was increasing. Therefore, we genotyped an aborted fetus which was inbred on Montbéliarde as well as Vorderwald x Montbéliarde crossbred bulls for both deleterious mutations. The abortion was observed in an experimental herd of Vorderwald cattle. The objectives of the present study were to prove if one or both lethal mutations may be assumed to have caused this abortion and to show whether these deleterious mutations have been introduced into the Vorderwald cattle population through Montbéliarde bulls. The aborted fetus was homozygous for the SLC37A2:g.28879810C>T mutation (ss2019324563) on BTA29 and both parents as well as the paternal and maternal grandsire were heterozygous for this mutation. In addition, the parents and the paternal grandsire were carriers of the MH2-haplotype linked with the T-allele of the SLC37A2:g.28879810C>T mutation. For the SHBG:g.27956790C>T mutation (rs38377500) on BTA19 (MH1), the aborted fetus and its sire were heterozygous. Among all further 341 Vorderwald cattle genotyped we found 27 SLC37A2:g.28879810C>T heterozygous animals resulting in an allele frequency of 0.0396. Among the 120 male Vorderwald cattle, there were 12 heterozygous with an allele frequency of 0.05. The SLC37A2:g.28879810C>T mutation could not be found in further nine cattle breeds nor in Vorderwald cattle with contributions from Ayrshire bulls. In 69 Vorderwald cattle without genes from Montbéliarde bulls the mutated allele of SLC37A2:g.28879810C>T could not be detected. The SHBG:g.27956790C>T mutation appeared unlikely to be responsible
Correlation functions from a unified variational principle: Trial Lie groups
Balian, R.; Vénéroni, M.
2015-11-01
Time-dependent expectation values and correlation functions for many-body quantum systems are evaluated by means of a unified variational principle. It optimizes a generating functional depending on sources associated with the observables of interest. It is built by imposing through Lagrange multipliers constraints that account for the initial state (at equilibrium or off equilibrium) and for the backward Heisenberg evolution of the observables. The trial objects are respectively akin to a density operator and to an operator involving the observables of interest and the sources. We work out here the case where trial spaces constitute Lie groups. This choice reduces the original degrees of freedom to those of the underlying Lie algebra, consisting of simple observables; the resulting objects are labeled by the indices of a basis of this algebra. Explicit results are obtained by expanding in powers of the sources. Zeroth and first orders provide thermodynamic quantities and expectation values in the form of mean-field approximations, with dynamical equations having a classical Lie-Poisson structure. At second order, the variational expression for two-time correlation functions separates-as does its exact counterpart-the approximate dynamics of the observables from the approximate correlations in the initial state. Two building blocks are involved: (i) a commutation matrix which stems from the structure constants of the Lie algebra; and (ii) the second-derivative matrix of a free-energy function. The diagonalization of both matrices, required for practical calculations, is worked out, in a way analogous to the standard RPA. The ensuing structure of the variational formulae is the same as for a system of non-interacting bosons (or of harmonic oscillators) plus, at non-zero temperature, classical Gaussian variables. This property is explained by mapping the original Lie algebra onto a simpler Lie algebra. The results, valid for any trial Lie group, fulfill consistency
Acorn poisoning in cattle and sheep.
2014-03-01
• Multiple cases of acorn poisoning in cattle and sheep following bumper crop • Salmonella Dublin infection causes abortions in cattle • Respiratory disease affecting different age groups of pigs on a nursery finisher unit • Porcine dermatitis and nephropathy syndrome cases diagnosed • A further case of suspect Marek's disease in turkeys. These are among matters discussed in the Animal Health and Veterinary Laboratories Agency's (AHVLA's) disease surveillance report for November 2013 to January 2014. PMID:24578432
Syndrome of arachnomelia in Simmental cattle
Weppert Myriam; Reichenbach Horst-Dieter; Emmerling Reiner; Luntz Bernhard; Buitkamp Johannes; Schade Benjamin; Meier Norbert; Götz Kay-Uwe
2008-01-01
Abstract Background The syndrome of arachnomelia is an inherited malformation mainly of limbs, back and head in cattle. At present the arachnomelia syndrome has been well known mainly in Brown Swiss cattle. Nevertheless, the arachnomelia syndrome had been observed in the Hessian Simmental population during the decade 1964–1974. Recently, stillborn Simmental calves were observed having a morphology similar to the arachnomelia syndrome. The goal of this work was the characterization of the morp...
Factors associated with cattle cleanliness on Norwegian dairy farms.
Hauge, S J; Kielland, C; Ringdal, G; Skjerve, E; Nafstad, O
2012-05-01
Animal cleanliness in dairy herds is essential to ensure hygienic milk production, high microbial quality of carcasses, good hide quality, and animal welfare. The objective of this study was to identify on-farm factors associated with dairy cattle cleanliness. The study also examined differences in risk factors and preventive factors between contrasting herds regarding cattle cleanliness. In total, 60 dairy herds, selected from a national database, were visited by 2 trained assessors during the indoor feeding period in February and March 2009. In Norwegian abattoirs, cattle are assessed and categorized according to hide cleanliness, based on national guidelines, using a 3-category scale. Dirty animals result in deductions in payment to farmers. "Dirty" herds (n=30) were defined as those that had most deductions in payment registered due to dirty animals slaughtered in 2007 and 2008. "Clean" herds (n=30) were those that had similar farm characteristics, but slaughtered only clean animals during 2007 and 2008, and thus had no deductions in payments registered. The dairy farms were located in 4 different areas of Norway. Relevant information, such as housing, bedding, feeding, and management practices concerning cleaning animals and floors, was collected during farm visits. In addition, the cleanliness of each animal over 1 yr of age (4,991 animals) was assessed and scored on a 5-point scale, and later changed to a dichotomous variable during statistical analysis. Milk data (milk yield and somatic cell counts) were obtained from the Norwegian Dairy Herd Recording System. Factors associated with dirty animals in all 60 herds were, in ranked order, high air humidity, many dirty animals slaughtered during the previous 2 yr, lack of preslaughter management practices toward cleaning animals, animal type (heifers and bulls/steers), housing (freestalls and pens without bedding), manure consistency, and lack of efforts directed toward cleaning the animals throughout the year
Morphological characterization ofMadura Cattle
Directory of Open Access Journals (Sweden)
Bambang Setiadi
1998-12-01
Full Text Available Morphological characterization of Madura cattle in Madura islands was done as an input for "action plans" of national animals genetic resources management according to the global system ofFAO. Assessments were done in Sumenep District and Pamekasan District, East Java. According to the body measurements, Madura cattle can be classified as a small to medium type with withers height of about 120 cm. Because of potential productivity in the limitation of environmental resources, Madura cattle can be classified as a "superior" cattle . Body measurements of Madura cattle in the present study were relatively the same with those of 50 years ago, indicating that there is no breeding improvement activities except natural selection . The variability of body measurements is relatively narrow . Improving productivity by outbreeding is needed . To conserve the unique germ plasm of the Indonesian genotype, such as Madura cattle and a possibility to improve their productivity by a complete prevention of cross breeding in the Madura islands needs further evaluation .
Czech Academy of Sciences Publication Activity Database
Jirout, Jiří; Šimek, Miloslav; Elhottová, Dana
2011-01-01
Roč. 43, č. 3 (2011), s. 647-656. ISSN 0038-0717 R&D Projects: GA MŠk LC06066; GA ČR GA526/09/1570 Grant ostatní: GAJU(CZ) 7/2007/P-PřF Institutional research plan: CEZ:AV0Z60660521 Keywords : cattle overwintering * upland pasture * soil fungal community Subject RIV: EH - Ecology, Behaviour Impact factor: 3.504, year: 2011
International Nuclear Information System (INIS)
A survey of cattle dip facilities and current practices employed was done. Coumaphos and ethion were the commonly used acaricides in the four respondent stock farms. The behavior of coumaphos in a simulated model cattle dip was monitored using radiotracer techniques. Degradation was rapid, resulting in the formation of potasan metabolite and bound residues in the sediment. A rapid field method for the detection of organophosphate pesticides was used in monitoring the degradation of coumaphos in a cattle dip. The sensitivity of the method is comparable to the conventional HPLC method employed. This rapid field method can easily be used by cattle ranch owners to monitor coumaphos content of the vat facility so that recharging could be made in order to prevent the onset of resistance development in cattle tick. (author)
On-farm welfare assessment in dairy cattle and buffaloes: evaluation of some animal-based parameters
Directory of Open Access Journals (Sweden)
Giuseppe De Rosa
2010-01-01
Full Text Available The aim of this study was to evaluate the repeatability of some animal related variables, which could be used in proto- cols developed for assessing animal welfare at farm level. Recordings were performed in seven dairy farms (four for cat- tle and three for buffaloes. The animals were observed on three occasions at three-week intervals. The variables col- lected for each animal were the following: behaviour during milking (stepping and kicking, avoidance distance, lame- ness and cleanliness. For each farm and each variable repeatability was computed using the Kendall coefficient of con- cordance (W. In buffalo farms avoidance distance may be considered highly reliable (W > 0.64, whereas in dairy cat- tle its reliability ranged from medium (W = 0.43 to 0.59 to high (W = 0.64. Behavioural recordings at milking showed that the reliability of stepping was either medium or high for both buffaloes and cattle (W = 0.51 to 0.66 and W = 0.52 to 0.76 for buffaloes and cattle, respectively. Conversely, kicking was less reliable. In cattle farms the reliability for cleanliness ranged from medium (W = 0.51 to high (W = 0.62 to 0.71, whereas, it was not reliable in the sole buffalo farm where this variable was monitored. In cattle farms, the concordance for lameness score was high in two farms (W = 0.62 and 0.66 and moderate in one farm (W = 0.43, whereas no animals displayed lameness in the fourth farm. In all buffalo farms no animals showed lameness. For each species, the Kruskal-Wallis analysis of variance with one factor (farm was performed to evaluate the effect of farm on recorded variables. For cattle, avoidance distance (P stepping (P nificantly different between farms. In buffaloes a significant effect of farm was observed only for avoidance distance (P that avoidance distance was lower in buffaloes than cattle (P criminate among farms. Lameness and cleanliness scores were able to discriminate only cattle farms
Changing Information Retrieval Behaviours
DEFF Research Database (Denmark)
Constantiou, Ioanna D.; Lehrer, Christiane; Hess, Thomas
2014-01-01
on the continuance of LBS use and indicate changes in individuals' information retrieval behaviours in everyday life. In particular, the distinct value dimension of LBS in specific contexts of use changes individuals' behaviours towards accessing location-related information....
Organizational Behaviour in Construction
DEFF Research Database (Denmark)
Kreiner, Kristian
2013-01-01
Review of: Organizational Behaviour in Construction / Anthony Walker (Wiley-Blackwell,2011 336 pp)......Review of: Organizational Behaviour in Construction / Anthony Walker (Wiley-Blackwell,2011 336 pp)...
Lie symmetries of nonlinear multidimensional reaction-diffusion systems:
International Nuclear Information System (INIS)
We present a complete description of the classical (Lie) symmetries of a coupled system of partial differential equations comprising a pair of semilinear reaction-diffusion equations with constant diffusivities and arbitrary nonlinearities in the reaction terms, in any number of spatial dimensions. Part I (Cherniha R M and King J R 2000 J. Phys. A: Math. Gen. 33 267-82, J. Phys. A: Math. Gen. 33 7839-41) addressed the case of unequal diffusivities; here we complete the analysis by treating the case of equal diffusivities in which the symmetry structure is richer still. Such models arise in the description of numerous physical, chemical and biological systems and we also indicate the possible application in such contexts of some of the specific cases arising from the group classification. Specifically, a variety of Lie's ansaetze and exact solutions of the so-called λ - ω reaction-diffusion systems, of a type that arises in mathematical biology, are constructed
Lie algebra cohomology and group structure of gauge theories
International Nuclear Information System (INIS)
We explicitly construct the adjoint operator of coboundary operator and obtain the Hodge decomposition theorem and the Poincaracute e duality for the Lie algebra cohomology of the infinite-dimensional gauge transformation group. We show that the adjoint of the coboundary operator can be identified with the BRST adjoint generator Qdegree for the Lie algebra cohomology induced by BRST generator Q. We also point out an interesting duality relation emdash Poincaracute e duality emdash with respect to gauge anomalies and Wess endash Zumino endash Witten topological terms. We consider the consistent embedding of the BRST adjoint generator Qdegree into the relativistic phase space and identify the noncovariant symmetry recently discovered in QED with the BRST adjoint Noether charge Qdegree. copyright 1996 American Institute of Physics
Random Lie group actions on compact manifolds: a perturbative analysis
Sadel, Christian
2008-01-01
A random Lie group action on a compact manifold generates a discrete time Markov process. The main object of this paper is the evaluation of associated Birkhoff sums in a regime of weak, but sufficiently effective coupling of the randomness. This effectiveness is expressed in terms of random Lie algebra elements and replaces the transience or Furstenberg's irreducibility hypothesis in related problems. The Birkhoff sum of any given smooth function then turns out to be equal to its integral w.r.t. a unique smooth measure on the manifold up to errors of the order of the coupling constant. Applications to the theory of products of random matrices and a model of a disordered quantum wire are presented.
Lie algebras for some specific dissipative Landau–Zener problems
International Nuclear Information System (INIS)
We demonstrate that some specific problems of Landau–Zener transitions in a qubit coupled to an environment (problems designed as dissipative) can be matched onto the frame of the original problem without dissipation, providing an appropriate Lie algebra. Focusing on the origin of quantum noises, the cases of bosonic and spin baths are considered and presented. Finally, making use of the algebra framework, the logic is shown in action for respectively two important additional quantum models, namely the Jaynes–Cummings and an isolated double quantum dots models. - Highlights: • A finite temperature result for dissipative Landau–Zener transitions in a qubit coupled to an environment is proposed. • The quantum noises for bosonic and spin baths are considered. • Lie algebras reduction method coupled to the separation method and the fast driving approximation is proposed. • Jaynes–Cummings and a double quantum dots models are studied as illustrations of the algebra
Generalized Quantum Statistics and Lie (Super)Algebras
Stoilova, N I
2015-01-01
Generalized quantum statistics, such as paraboson and parafermion statistics, are characterized by triple relations which are related to Lie (super)algebras of type B. The correspondence of the Fock spaces of parabosons, parafermions as well as the Fock space of a system of parafermions and parabosons to irreducible representations of (super)algebras of type B will be pointed out. Example of generalized quantum statistics connected to the basic classical Lie superalgebra B(1|1)=osp(3|2) with interesting physical properties, such as noncommutative coordinates, will be given. Therefore the article focuses on the question, addressed already in 1950 by Wigner: do the equation of motion determine the quantum mechanical commutation relation?
Generalized quantum statistics and Lie (super)algebras
Stoilova, N. I.
2016-03-01
Generalized quantum statistics, such as paraboson and parafermion statistics, are characterized by triple relations which are related to Lie (super)algebras of type B. The correspondence of the Fock spaces of parabosons, parafermions as well as the Fock space of a system of parafermions and parabosons to irreducible representations of (super)algebras of type B will be pointed out. Example of generalized quantum statistics connected to the basic classical Lie superalgebra B(1|1) ≡ osp(3|2) with interesting physical properties, such as noncommutative coordinates, will be given. Therefore the article focuses on the question, addressed already in 1950 by Wigner: do the equation of motion determine the quantum mechanical commutation relation?
Lie symmetries of semi-linear Schroedinger equations and applications
International Nuclear Information System (INIS)
Conditional Lie symmetries of semi-linear 1D Schroedinger and diffusion equations are studied in case the mass (or the diffusion constant) is considered as an additional variable and/or where the couplings of the non-linear part have a non-vanishing scaling dimension. In this way, dynamical symmetries of semi-linear Schroedinger equations become related to certain subalgebras of a three-dimensional conformal Lie algebra (conf3)C. The representations of these subalgebras are classified and the complete list of conditionally invariant semi-linear Schroedinger equations is obtained. Applications to the phase-ordering kinetics of simple magnets and to simple particle-reaction models are briefly discussed
Spinor Lie derivatives and Fermion stress-energies
Helfer, Adam D
2016-01-01
Stress-energies for Fermi fields are derived from the principle of general covariance. This is done by developing a notion of Lie derivatives of spinors along arbitrary vector fields. A substantial theory of such derivatives was first introduced by Kosmann; here I show how an apparent conflict in the literature on this is due to a difference in the definitions of spinors, and that tracking the Lie derivative of the Infeld-van der Waerden symbol, as well as the spinor fields under consideration, gives a fuller picture of the geometry and leads to the Fermion stress-energy. The differences in the definitions of spinors do not affect the results here, but could matter in certain quantum-gravity programs and for spinor transformations under discrete symmetries.
Lie algebras for some specific dissipative Landau–Zener problems
Energy Technology Data Exchange (ETDEWEB)
Kenmoe, M.B. [Mesoscopic and Multilayer Structures Laboratory (MMSL), Faculty of Science, Department of Physics, University of Dschang (Cameroon); Mkam Tchouobiap, S.E., E-mail: esmkam@yahoo.com [Laboratory of Research on Advanced Materials and Nonlinear Science (LaRAMaNS), Department of Physics, Faculty of Sciences, University of Buea, PO Box 63, Buea (Cameroon); Danga, J.E.; Kenfack Sadem, C.; Fai, L.C. [Mesoscopic and Multilayer Structures Laboratory (MMSL), Faculty of Science, Department of Physics, University of Dschang (Cameroon)
2015-03-20
We demonstrate that some specific problems of Landau–Zener transitions in a qubit coupled to an environment (problems designed as dissipative) can be matched onto the frame of the original problem without dissipation, providing an appropriate Lie algebra. Focusing on the origin of quantum noises, the cases of bosonic and spin baths are considered and presented. Finally, making use of the algebra framework, the logic is shown in action for respectively two important additional quantum models, namely the Jaynes–Cummings and an isolated double quantum dots models. - Highlights: • A finite temperature result for dissipative Landau–Zener transitions in a qubit coupled to an environment is proposed. • The quantum noises for bosonic and spin baths are considered. • Lie algebras reduction method coupled to the separation method and the fast driving approximation is proposed. • Jaynes–Cummings and a double quantum dots models are studied as illustrations of the algebra.
Exponential Formulas and Lie Algebra Type Star Products
Directory of Open Access Journals (Sweden)
Dragutin Svrtan
2012-03-01
Full Text Available Given formal differential operators $F_i$ on polynomial algebrain several variables $x_1,...,x_n$, we discuss finding expressions $K_l$ determined by the equation $exp(sum_i x_i F_i(exp(sum_j q_j x_j = exp(sum_l K_l x_l$ and their applications. The expressions for $K_l$ are related to the coproducts for deformed momenta for the noncommutative space-times of Lie algebra type and also appear in the computations with a class of star products. We find combinatorial recursions and derive formal differential equations for finding $K_l$. We elaborate an example for a Lie algebra $su(2$, related to a quantum gravity application from the literature.
Lie algebra cohomology and group structure of gauge theories
Energy Technology Data Exchange (ETDEWEB)
Yang, H.S.; Lee, B. [Department of Physics, Hanyang University, Seoul 133-791 (Korea)
1996-12-01
We explicitly construct the adjoint operator of coboundary operator and obtain the Hodge decomposition theorem and the Poincar{acute e} duality for the Lie algebra cohomology of the infinite-dimensional gauge transformation group. We show that the adjoint of the coboundary operator can be identified with the BRST adjoint generator {ital Q}{sup {degree}} for the Lie algebra cohomology induced by BRST generator {ital Q}. We also point out an interesting duality relation{emdash}Poincar{acute e} duality{emdash}with respect to gauge anomalies and Wess{endash}Zumino{endash}Witten topological terms. We consider the consistent embedding of the BRST adjoint generator {ital Q}{sup {degree}} into the relativistic phase space and identify the noncovariant symmetry recently discovered in QED with the BRST adjoint N{umlt o}ther charge {ital Q}{sup {degree}}. {copyright} {ital 1996 American Institute of Physics.}
Nambu-Lie 3-algebras on fuzzy 3-manifolds
Axenides, Minos; Floratos, Emmanuel
2009-02-01
We consider Nambu-Poisson 3-algebras on three dimensional manifolds Script M3, such as the Euclidean 3-space R3, the 3-sphere S3 as well as the 3-torus T3. We demonstrate that in the Clebsch-Monge gauge, the Lie algebra of volume preserving diffeomorphisms SDiff(Script M3) is identical to the Nambu-Poisson algebra on Script M3. Moreover the fundamental identity for the Nambu 3-bracket is just the commutation relation of SDiff(Script M3). We propose a quantization prescription for the Nambu-Poisson algebra which provides us with the correct classical limit. As such it possesses all of the expected classical properties constituting, in effect, a concrete representation of Nambu-Lie 3-algebras.
Zinc deficiency (hypozincemia in local Iraqi cattle
Directory of Open Access Journals (Sweden)
Kamal M. Alsaad,
2011-07-01
Full Text Available Clinical, hematological, pathological and some biochemical parameters have been studied in local cattle and calves affected naturally with hypozincemia in Mosul, Iraq. The study was conducted on 78 local Iraqi cattle and calves, among these animals, 30 calves were less than six months of age and 38 animals were more than three years old. Ten clinical healthy cattle of different ages were used as control. Affected cattle showed signs of alopecia in different body regions (73.6%, abnormal skin (rough, thickened, wrinkled, cracked and with dandruff (73.6%, paleness of mucous membranes (47.3%, intermittent diarrhoea (39.4%, decreased milk production (31.5% and loss of appetite (26.3%, whereas affected calves showed alopecia in various body regions (90%, abnormal skin (83.3%, decreased growth rate (53.3%, swelling of joints and stiff gait (43.3% and pica (36.6%. No significant difference has been detected in body temperature, whereas respiratory and heart rates were significantly increased in affected animals in comparison with control. Statistical analysis showed significant decrease in the total erythrocytes (TRBCs, hemoglobin (HB and packed cell volume (PCV in diseased cattle and calves and macrocytic normochromic type of anemia was found. The results also indicated significant decrease in lymphocytes and platelets counts, however significant increase was encountered in platelets volume, platelets distribution width, prothrombine time and activated partial thromboplastine time in diseased animals. The biochemical results revealed significant decrease in serum zinc and fibrinogen and haptoglobin level was higher in diseased cattle and calves. Microscopic lesions of the skin of zinc deficient cattle and calves were in the form of epidermal hyperplasia, parakeratosis, hyperkeratosis, acanthosis and the formation of thickened adherent scale.
Fundamentals of soil behaviour
Gens Solé, Antonio
2009-01-01
The paper reviews in summary form the generalised behaviour of soils under nonisothermal and chemically varying conditions. This generalised soil behaviour underlies the performance of a number of ground improvement techniques. The behaviour of frozen soil is examined first showing that some concepts of unsaturated soil mechanics appear to be readily applicable. Afterwards, the observation that volumetric behaviour of saturated and unsaturated soils at high temperature is similar, leads to th...
Noncompact homogeneous Einstein manifolds attached to graded Lie algebras
Tamaru, Hiroshi
2006-01-01
In this paper, we study the nilradicals of parabolic subalgebras of semisimple Lie algebras and the natural one-dimensional solvable extensions of them. We investigate the structures, curvatures and Einstein conditions of the associated nilmanifolds and solvmanifolds. We show that our solvmanifold is Einstein if the nilradical is of two-step. New examples of Einstein solvmanifolds with three-step and four-step nilradicals are also given.
Lie Symmetries of Birational Maps Preserving Genus 0 Fibrations
Llorens, Mireia; Mañosa, Víctor
2015-01-01
We prove that any planar birational integrable map, which preserves a fibration given by genus $0$ curves has a Lie symmetry and some associated invariant measures. The obtained results allow to study in a systematic way the global dynamics of these maps. Using this approach, the dynamics of several maps is described. In particular we are able to give, for particular examples, the explicit expression of the rotation number function, and the set of periods of the considere...
Octonions, G_2 and generalized Lie 3-algebras
Yamazaki, Masahito
2008-01-01
We construct an explicit example of a generalized Lie 3-algebra from the octonions. In combination with the result of arXiv:0807.0808, this gives rise to a three-dimensional N=2 Chern-Simons-matter theory with exceptional gauge group G_2 and with global symmetry SU(4)\\times U(1). This gives a possible candidate for the theory on multiple M2-branes with G_2 gauge symmetry.
Generalized Calogero system for simple Lie algebra series
Czech Academy of Sciences Publication Activity Database
Zuevsky, Alexander
Bristol: IOP Publishing, 2015 - (Gaol, F.; Webb, J.; Ding, J.), s. 012020. (IOP Conference Series: Materials Science and Engineering. 83). ISSN 1757-8981. [3rd International Conference on Manufacturing, Optimization, Industrial and Material Engineering (MOIME 2015). Bali (ID), 28.03.2015-29.03.2015] Institutional support: RVO:67985840 Keywords : Calogero models * Lie algebra s * integrable models Subject RIV: BA - General Mathematics http://iopscience.iop.org/1757-899X/83/1/012020
Lies, Discrimination, and Internalized Racism: Findings from the lab.
David, Wozniak; Tim, MacNeill
2015-01-01
We simulate a job application/hiring market in the lab to examine racial discrimination. We find little evidence of ability differences based on race but we find taste-based racism between groups and statistical racism within groups. When candidates are given the opportunity to lie about their abilities, all groups discriminate against Blacks, suggesting statistical discrimination. But Whites continue to discriminate against Blacks when actual abilities of the candidate are known, suggesting ...
Poisson-Lie T-duality in Hamiltonian Systems
International Nuclear Information System (INIS)
Poisson-Lie T-duality relates two different sigma models, one defined over a Poisson-Lie group and the other over its dual.We shall describe this duality within the Hamiltonian formalism in geometrical terms. This description will show the existence of symmetry axions of the same group, the central extension of the loop group of the Drinfeld double, on the phase spaces corresponding to the T-dual models. The canonical duality transformations will be obtained in terms of the moment mappings that generate this symmetries and in terms of Poisson maps that relates the coadjoint orbit through the pure central extension element with Hamiltonian subsystems in the phase spaces, which we called admissible dualizable subspaces. We shall summarize this spaces and the arrows, symbolizing the corresponding Poisson maps, in a diagram from which the duality transformations can be directly read. The Hamiltonian functions that give the dynamics on the phase spaces of the dual models must be written in the collective motion form with respect to the corresponding moment maps and an arbitrary Hamiltonian function on the orbit. So, a family of dual models on Poisson-Lie groups can be constructed for each Hamiltonian imposed on the orbit. For particular choices of this dynamics, we shall recover the well-known dual sigma models, the corresponding duality transformations and the admissible dualizable subspaces, systematically re-obtaining known results for abelian T-duality and semi-abelian T-duality. From this description of the T-duality, we identify the geometrical elements that are essential for the generation of dual dynamical systems. Disregarding the particular characteristics of the duality based on Poisson-Lie groups, we shall propose several ways to generalize it and some general criteria for the construction of the corresponding dual models
A Lie algebra approach to susceptible-infected-susceptible epidemics
Yilun Shang
2012-01-01
The susceptible-infected-susceptible (SIS) epidemic model can be represented by a continuous-time Markov chain, which is governed by a set of deterministic differential equations (Kolmogorov forward equations). In this paper, a Lie algebra approach is applied to solve an SIS model where infection rate and recovery rate are time-varying. The method presented here has been used widely in chemical and physical sciences but not in epidemic applications due to insufficient symmetries.
Low-lying Proton Intruder State in 13B
Ota, S; Iwasaki, H; Kurokawa, M; Michimasa, S; Aoi, N; Baba, H; Demichi, K; Elekes, Z; Fukuchi, T; Gomi, T; Kanno, S; Kubono, S; Kurita, K; Hasegawa, H; Ideguchi, E; Iwasa, N; Matsuyama, Y U; Yurkewicz, K L; Minemura, T; Motobayashi, T; Murakami, T; Notani, M; Odahara, A; Saito, A; Sakuraï, H; Takeshita, E; Takeuchi, S; Tamaki, M; Teranishi, T; Yanagisawa, Y; Yamada, K; Ishihara, M
2008-01-01
The neturon rich nucleus 13B was studied via the proton transfer reaction 4He(12Be,13B \\gamma) at 50AMeV. The known 4.83-MeV excited state was strongly populated and its spin and parity were assigned to 1/2+ by comparing the angular differential cross section data with DWBA calculations. This low-lying 1/2+ state is interpreted as a proton intruder state and indicates a deformation of the nucleus.
Equivariant geometric K-homology for compact Lie group actions
Baum, Paul; Schick, Thomas
2009-01-01
Let G be a compact Lie-group, X a compact G-CW-complex. We define equivariant geometric K-homology groups K^G_*(X), using an obvious equivariant version of the (M,E,f)-picture of Baum-Douglas for K-homology. We define explicit natural transformations to and from equivariant K-homology defined via KK-theory (the "official" equivariant K-homology groups) and show that these are isomorphism.
Cohomology of Lie Superalgebras of Hamiltonian Vector Fields: Computer Analysis
Kornyak, Vladimir V.
1999-01-01
We present the results of computation of cohomology for some Lie (super)algebras of Hamiltonian vector fields and related algebras. At present, the full cohomology rings for these algebras are not known even for the low dimensional vector fields. The partial ``experimental'' results may give some hints for solution of the whole problem. The computations have been carried out with the help of recently written program in C language. Some of the presented results are new.
Generalized Calogero system for simple Lie algebra series
Czech Academy of Sciences Publication Activity Database
Zuevsky, Alexander
Bristol : IOP Publishing, 2015 - (Gaol, F.; Webb, J.; Ding, J.), s. 012020 ISSN 1757-8981. - (IOP Conference Series: Materials Science and Engineering. 83). [3rd International Conference on Manufacturing, Optimization, Industrial and Material Engineering (MOIME 2015). Bali (ID), 28.03.2015-29.03.2015] Institutional support: RVO:67985840 Keywords : Calogero models * Lie algebra s * integrable models Subject RIV: BA - General Mathematics http://iopscience.iop.org/1757-899X/83/1/012020
6th Hilbert's problem and S.Lie's infinite groups
International Nuclear Information System (INIS)
The progress in Hilbert's sixth problem solving is demonstrated. That became possible thanks to the gauge field theory in physics and to the geometrical treatment of the gauge fields. It is shown that the fibre bundle spaces geometry is the best basis for solution of the problem being discussed. This talk has been reported at the International Seminar '100 Years after Sophus Lie' (Leipzig, Germany)
A characterization of coboundary Poisson Lie groups and Hopf algebras
Zakrzewski, S.
1996-01-01
We show that a Poisson Lie group $(G,\\pi)$ is coboundary if and only if the natural action of $G\\times G$ on $M=G$ is a Poisson action for an appropriate Poisson structure on $M$ (the structure turns out to be the well known $\\pi _+$). We analyze the same condition in the context of Hopf algebras. Quantum analogue of the $\\pi_+$ structure on SU(N) is described in terms of generators and relations as an example.
The Demazure-Tits subgroup of a simple Lie group
Michel, L.; Patera, J.; Sharp, R. T.
1988-04-01
The Demazure-Tits subgroup of a simple Lie group G is the group of invariance of Clebsch-Gordan coefficients tables (assuming an appropriate choice of basis). The structure of the Demazure-Tits subgroups of An, Bn, Cn, Dn, and G2 is described. Orbits of the permutation action of the DT group in any irreducible finite-dimensional representation space of A2, C2, and G2 are decomposed into the sum of irreducible representations of the DT group.
Nonlinear wave evolution in VLASOV plasma: a lie-transform analysis
International Nuclear Information System (INIS)
Nonlinear wave evolution in Vlasov plasma is analyzed using the Lie transform, a powerful mathematical tool which is applicable to Hamiltonian systems. The first part of this thesis is an exposition of the Lie transform. Dewar's general Lie transform theory is explained and is used to construct Deprit's Lie transform perturbation technique. The basic theory is illustrated by simple examples
Zanette, Sarah; Gao, Xiaoqing; Brunet, Megan; Bartlett, Marian Stewart; Lee, Kang
2016-10-01
The current study used computer vision technology to examine the nonverbal facial expressions of children (6-11years old) telling antisocial and prosocial lies. Children in the antisocial lying group completed a temptation resistance paradigm where they were asked not to peek at a gift being wrapped for them. All children peeked at the gift and subsequently lied about their behavior. Children in the prosocial lying group were given an undesirable gift and asked if they liked it. All children lied about liking the gift. Nonverbal behavior was analyzed using the Computer Expression Recognition Toolbox (CERT), which employs the Facial Action Coding System (FACS), to automatically code children's facial expressions while lying. Using CERT, children's facial expressions during antisocial and prosocial lying were accurately and reliably differentiated significantly above chance-level accuracy. The basic expressions of emotion that distinguished antisocial lies from prosocial lies were joy and contempt. Children expressed joy more in prosocial lying than in antisocial lying. Girls showed more joy and less contempt compared with boys when they told prosocial lies. Boys showed more contempt when they told prosocial lies than when they told antisocial lies. The key action units (AUs) that differentiate children's antisocial and prosocial lies are blink/eye closure, lip pucker, and lip raise on the right side. Together, these findings indicate that children's facial expressions differ while telling antisocial versus prosocial lies. The reliability of CERT in detecting such differences in facial expression suggests the viability of using computer vision technology in deception research. PMID:27318957
Less is more? Detecting lies in veiled witnesses.
Leach, Amy-May; Ammar, Nawal; England, D Nicole; Remigio, Laura M; Kleinberg, Bennett; Verschuere, Bruno J
2016-08-01
Judges in the United States, the United Kingdom, and Canada have ruled that witnesses may not wear the niqab-a type of face veil-when testifying, in part because they believed that it was necessary to see a person's face to detect deception (Muhammad v. Enterprise Rent-A-Car, 2006; R. v. N. S., 2010; The Queen v. D(R), 2013). In two studies, we used conventional research methods and safeguards to empirically examine the assumption that niqabs interfere with lie detection. Female witnesses were randomly assigned to lie or tell the truth while remaining unveiled or while wearing a hijab (i.e., a head veil) or a niqab (i.e., a face veil). In Study 1, laypersons in Canada (N = 232) were more accurate at detecting deception in witnesses who wore niqabs or hijabs than in those who did not wear veils. Concealing portions of witnesses' faces led laypersons to change their decision-making strategies without eliciting negative biases. Lie detection results were partially replicated in Study 2, with laypersons in Canada, the United Kingdom, and the Netherlands (N = 291): observers' performance was better when witnesses wore either niqabs or hijabs than when witnesses did not wear veils. These findings suggest that, contrary to judicial opinion, niqabs do not interfere with-and may, in fact, improve-the ability to detect deception. (PsycINFO Database Record PMID:27348716
Analysis on singular spaces: Lie manifolds and operator algebras
Nistor, Victor
2016-07-01
We discuss and develop some connections between analysis on singular spaces and operator algebras, as presented in my sequence of four lectures at the conference Noncommutative geometry and applications, Frascati, Italy, June 16-21, 2014. Therefore this paper is mostly a survey paper, but the presentation is new, and there are included some new results as well. In particular, Sections 3 and 4 provide a complete short introduction to analysis on noncompact manifolds that is geared towards a class of manifolds-called "Lie manifolds" -that often appears in practice. Our interest in Lie manifolds is due to the fact that they provide the link between analysis on singular spaces and operator algebras. The groupoids integrating Lie manifolds play an important background role in establishing this link because they provide operator algebras whose structure is often well understood. The initial motivation for the work surveyed here-work that spans over close to two decades-was to develop the index theory of stratified singular spaces. Meanwhile, several other applications have emerged as well, including applications to Partial Differential Equations and Numerical Methods. These will be mentioned only briefly, however, due to the lack of space. Instead, we shall concentrate on the applications to Index theory.
[Inherited thrombopathia in Simmental cattle].
Aebi, M; Wiedemar, N; Drögemüller, C; Zanolari, R
2016-02-01
During the years 2012 to 2014, a total of 5 affected Simmental cattle showing persistent bleeding after minor or unknown trauma, were presented at the Clinic for Ruminants or at the Institute for Genetics of the Vetsuisse-Faculty, University of Berne. The homozygous mutation RASGRP2, initially reported in 2007, was present in all these cases and all available parents were heterozygous carriers thus confirming the recessive mode of inheritance. Three affected animals died as a result of persistent bleeding. One animal was stabilized at the Clinic for Ruminants and was slaughtered one month later. Another case showing persistent bleeding and several hematomas was euthanized after genotyping. A frequency of 10% carriers for the associated mutation was detected in a sample of 145 Simmental sires which were used 2013 for artificial insemination in Switzerland. These bulls are designated as TP carriers and should not be used uncontrolled. Breeding organizations in Switzerland make use of the gene test to select bulls which do not carry the mutation. PMID:27145685
EVALUATION OF VERMICOMPOSTED CATTLE MANURE
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Zdenko Lončarić
2005-06-01
Full Text Available Vermicompost (lumbripost, biohumus is organic fertilizer or potting medium produced by microbial decomposition of cattle manure using Californian earthworm (Eisenia foetida. Analysing physical, chemical and biological properties confirmed that the vermicompost was stable with significant level of plant nutrients and the concentration of analysed heavy metals below threshold values. The results of vermicompost analyses were 17.85% ash, neutral pH reaction, EC 1.07 dS m-1, 24.6% total C, 2.32% total N and C:N ratio 10.6 indicating vermicompost maturity. Analyses showed significant concentrations (in g kg-1 of total P (11.25, K (6.13, Ca (10 and Mg (8.55 and microelements (in mg kg-1 Fe (9464, Mn (354, Zn (272 and Cu (46. Also, the total concentration of Zn, Cu, Pb (16 mg kg-1 and Cr (42 mg kg-1 was below permitted threshold values indicating that the use of vermicompost as fertilizer or as potting medium would be unrestricted. Biological tests show that (i the vermicompost was stable because measured respiration rate was 1.2 mg CO2-C g-1 compost-C day-1, and (ii the vermicompost did not show any phytotoxic effects because the 14-day growth of lettuce in containers resulted in higher aboveground fresh matter production using vermicompost as a potting medium compared with commercial medium, although the differences were not.
Greenhouse Gas Emissions From Cattle
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Podkówka Zbigniew
2015-03-01
Full Text Available Cattle produce greenhouse gases (GHG which lead to changes in the chemical composition of the atmosphere. These gases which cause greenhouse effect include: methane (CH4, nitrous oxide (N2O, nitrogen oxides (NOx, sulphur dioxide (SO2, ammonia (NH3, dust particles and non-methane volatile organic compounds, commonly described as other than methane hydrocarbons. Fermentation processes taking place in the digestive tract produce ‘digestive gases’, distinguished from gases which are emitted during the decomposition of manure. Among these digestive gases methane and non-methane volatile organic compounds are of particular relevance importance. The amount of gases produced by cows can be reduced by choosing to rear animals with an improved genetically based performance. A dairy cow with higher production efficiency, producing milk with higher protein content and at the same time reduced fat content emits less GHG into the environment. Increasing the ratio of feed mixtures in a feed ration also reduces GHG emissions, especially of methane. By selection of dairy cows with higher production efficiency and appropriate nutrition, the farm's expected milk production target can be achieved while at the same time, the size of the herd is reduced, leading to a reduction of GHG emissions.
The Relative Lie Algebra Cohomology of the Weil Representation
Ralston, Jacob
We study the relative Lie algebra cohomology of so(p,q) with values in the Weil representation piof the dual pair Sp(2k, R) x O(p,q ). Using the Fock model defined in Chapter 2, we filter this complex and construct the associated spectral sequence. We then prove that the resulting spectral sequence converges to the relative Lie algebra cohomology and has E0 term, the associated graded complex, isomorphic to a Koszul complex, see Section 3.4. It is immediate that the construction of the spectral sequence of Chapter 3 can be applied to any reductive subalgebra g ⊂ sp(2k(p + q), R). By the Weil representation of O( p,|q), we mean the twist of the Weil representation of the two-fold cover O(pq)[special character omitted] by a suitable character. We do this to make the center of O(pq)[special character omitted] act trivially. Otherwise, all relative Lie algebra cohomology groups would vanish, see Proposition 4.10.2. In case the symplectic group is large relative to the orthogonal group (k ≥ pq), the E 0 term is isomorphic to a Koszul complex defined by a regular sequence, see 3.4. Thus, the cohomology vanishes except in top degree. This result is obtained without calculating the space of cochains and hence without using any representation theory. On the other hand, in case k < p, we know the Koszul complex is not that of a regular sequence from the existence of the class ϕkq of Kudla and Millson, see te{KM2}, a nonzero element of the relative Lie algebra cohomology of degree kq. For the case of SO0(p, 1) we compute the cohomology groups in these remaining cases, namely k < p. We do this by first computing a basis for the relative Lie algebra cochains and then splitting the complex into a sum of two complexes, each of whose E0 term is then isomorphic to a Koszul complex defined by a regular sequence. This thesis is adapted from the paper, [BMR], this author wrote with his advisor John Millson and Nicolas Bergeron of the University of Paris.
Integrated Bali Cattle Development Model Under Oil Palm Plantation
Rasali Hakim Matondang; C. Talib
2015-01-01
Bali cattle have several advantages such as high fertility and carcass percentage, easy adaptation to the new environment as well. Bali cattle productivity has not been optimal yet. This is due to one of the limitation of feed resources, decreasing of grazing and agricultural land. The aim of this paper is to describe Bali cattle development integrated with oil palm plantations, which is expected to improve productivity and increase Bali cattle population. This integration model is carried ou...
On the breeds of cattle : Their history, classification and conservation
Felius, Marleen
2016-01-01
Cattle are kept worldwide in various environments and play many different roles in our society. We have analyzed the genetic diversity of cattle by combining zoological, archaeological, historical, topographical, agricultural and molecular-genetic data, This provides context and arguments for answering our main question: how do individual breeds contribute to the cattle genetic resources? This question is most relevant for the conservation of the cattle genetic resources In Chapter 2 we revie...
Impact of cattle on the prevalence and severity of trachoma.
Sole, G.
1987-01-01
Ethiopia is the African country with the largest number of cattle (26 million). Because of the potential impact of cattle on the transmission and severity of trachoma, the major cause of blindness in the country, an attempt is made to document this association to justify the inclusion of the control of cattle pollution in the prevention of blindness. The prevalence of trachoma is lower in pastoralists who herd mainly camels than in pastoralists who herd mainly cattle. In the first group the p...
Functorial aspects of the reconstruction of Lie groupoids from their bisections
Schmeding, Alexander; Wockel, Christoph
2015-01-01
To a Lie groupoid over a compact base, the associated group of bisection is an (infinite-dimensional) Lie group. Moreover, under certain circumstances one can reconstruct the Lie groupoid from its Lie group of bisections. In the present article we consider functorial aspects of these construction principles. The first observation is that this procedure is functorial (for morphisms fixing the base). Moreover, it gives rise to an adjunction between the category of Lie groupoids over a fixed bas...
Terzis, Petros A
2010-01-01
Lie group symmetry analysis for systems of coupled, nonlinear ordinary differential equations is performed in order to obtain the entire solution space to Einstein's field equations for vacuum Bianchi spacetime geometries. The symmetries used are the automorphisms of the Lie algebra of the corresponding three- dimensional isometry group acting on the hyper-surfaces of simultaneity for each Bianchi Type, as well as the scaling and the time reparametrization symmetry. The method is applied to Bianchi Types I; II; IV and V. The result is the acquisition, in each case, of the entire solution space of either Lorenzian of Euclidean signature. This includes all the known solutions for each Type and the general solution of Type IV (in terms of sixth Painlev\\'e transcendent PVI).
Non-commutative representation for quantum systems on Lie groups
Energy Technology Data Exchange (ETDEWEB)
Raasakka, Matti Tapio
2014-01-27
The topic of this thesis is a new representation for quantum systems on weakly exponential Lie groups in terms of a non-commutative algebra of functions, the associated non-commutative harmonic analysis, and some of its applications to specific physical systems. In the first part of the thesis, after a review of the necessary mathematical background, we introduce a {sup *}-algebra that is interpreted as the quantization of the canonical Poisson structure of the cotangent bundle over a Lie group. From the physics point of view, this represents the algebra of quantum observables of a physical system, whose configuration space is a Lie group. We then show that this quantum algebra can be represented either as operators acting on functions on the group, the usual group representation, or (under suitable conditions) as elements of a completion of the universal enveloping algebra of the Lie group, the algebra representation. We further apply the methods of deformation quantization to obtain a representation of the same algebra in terms of a non-commutative algebra of functions on a Euclidean space, which we call the non-commutative representation of the original quantum algebra. The non-commutative space that arises from the construction may be interpreted as the quantum momentum space of the physical system. We derive the transform between the group representation and the non-commutative representation that generalizes in a natural way the usual Fourier transform, and discuss key properties of this new non-commutative harmonic analysis. Finally, we exhibit the explicit forms of the non-commutative Fourier transform for three elementary Lie groups: R{sup d}, U(1) and SU(2). In the second part of the thesis, we consider application of the non-commutative representation and harmonic analysis to physics. First, we apply the formalism to quantum mechanics of a point particle on a Lie group. We define the dual non-commutative momentum representation, and derive the phase
Non-commutative representation for quantum systems on Lie groups
International Nuclear Information System (INIS)
The topic of this thesis is a new representation for quantum systems on weakly exponential Lie groups in terms of a non-commutative algebra of functions, the associated non-commutative harmonic analysis, and some of its applications to specific physical systems. In the first part of the thesis, after a review of the necessary mathematical background, we introduce a *-algebra that is interpreted as the quantization of the canonical Poisson structure of the cotangent bundle over a Lie group. From the physics point of view, this represents the algebra of quantum observables of a physical system, whose configuration space is a Lie group. We then show that this quantum algebra can be represented either as operators acting on functions on the group, the usual group representation, or (under suitable conditions) as elements of a completion of the universal enveloping algebra of the Lie group, the algebra representation. We further apply the methods of deformation quantization to obtain a representation of the same algebra in terms of a non-commutative algebra of functions on a Euclidean space, which we call the non-commutative representation of the original quantum algebra. The non-commutative space that arises from the construction may be interpreted as the quantum momentum space of the physical system. We derive the transform between the group representation and the non-commutative representation that generalizes in a natural way the usual Fourier transform, and discuss key properties of this new non-commutative harmonic analysis. Finally, we exhibit the explicit forms of the non-commutative Fourier transform for three elementary Lie groups: Rd, U(1) and SU(2). In the second part of the thesis, we consider application of the non-commutative representation and harmonic analysis to physics. First, we apply the formalism to quantum mechanics of a point particle on a Lie group. We define the dual non-commutative momentum representation, and derive the phase space path
Neurotuberculosis in cattle in southern Brazil.
Konradt, Guilherme; Bassuino, Daniele Mariath; Bianchi, Matheus Viezzer; Bandinelli, Marcele Bettim; Driemeier, David; Pavarini, Saulo Petinatti
2016-06-01
Tuberculosis in cattle is a chronic infectious-contagious disease characterized by the development of nodular lesions (granulomas) in mainly the lungs and regional lymph nodes. It is caused by Mycobacterium tuberculosis complex, an acid-fast bacillus (AFB). Tuberculosis in the central nervous system is a rare condition in cattle. Herein, we describe the clinical and pathological findings of six neurotuberculosis cases in cattle diagnosed in Southern Brazil. The average age of the cattle affected was 12 months, and they varied in breed and sex. The clinical history ranged from 5 to 30 days and was characterized by motor incoordination, opisthotonus, blindness, and progression to recumbency. The cattle were euthanized, and grossly, the leptomeninges at the basilar brain showed marked and diffuse expansion, with nodular yellowish lesions ranging in size. On microscopic examination, there were multifocal granulomas located mainly in the meninges, though sometimes extending to adjacent neuropil or existing as isolated granulomas in neuropil. AFBs were observed in the cytoplasm of epithelioid macrophages and multinucleated giant cells through Ziehl-Neelsen histochemical staining and identified as Mycobacterium sp. through immunohistochemistry. PMID:27026233
The Hall Nilpotentce Rule of Lie Rings%Lie 环的Hall幂零性准则
Institute of Scientific and Technical Information of China (English)
杨艳
2007-01-01
首先仿照幂零群的处理方式,引进幂零Lie环的下中心列,并给出Lie 环的下中心列商群与Lab的张量积的关系,最后根据群上的Hall幂零性准则,给出了Lie环的Hall幂零性准则,并予以证明.
Pashaei, S; Azari, M A; Hasani, S; Khanahmadi, A; Rostamzadeh, J
2009-05-01
This study was carried out to investigate genetic diversity in Mazandaranian native cattle population comparised to the Holstein breed, using Inter Simple Sequence Repeats (ISSR) marker. A total of 175 animals, including 71 native and 104 cattle of Holstein breed were screened. The extraction of DNA samples were carried out, using modified salting out method. A 19-mer oligonucleotide, (GA)9C, was used as primer in PCR reactions. The PCR products showed 15 different fragments with length ranged from 120 to 1600 bp in the two breeds.. Genetic variation indexes, including effective number of alleles, Shannon index, Nei's gene diversity and standard genetic distance were estimated, using POPGene software. Generally, the estimated genetic variation indexes showed low levels of diversity in the two breeds. However, Nei's gene diversity and Shannon index estimation was observed almost two folds in native cattle compared to Holstein breed. Less levels of diversity in Holstein cattle may be because of applying intensive selection programs. Conversely, native cattle have been less affected by selection. Therefore, it seems that Mazandaranian native cattle probably are better for breeding programs than Holstein cattle. Results showed that ISSR Markers are reliable and can be used in genetic diversity investigations. PMID:19634477
9 CFR 78.7 - Brucellosis reactor cattle.
2010-01-01
... 9 Animals and Animal Products 1 2010-01-01 2010-01-01 false Brucellosis reactor cattle. 78.7... AGRICULTURE INTERSTATE TRANSPORTATION OF ANIMALS (INCLUDING POULTRY) AND ANIMAL PRODUCTS BRUCELLOSIS Restrictions on Interstate Movement of Cattle Because of Brucellosis § 78.7 Brucellosis reactor cattle....
New World cattle show ancestry from multiple independent domestication events.
McTavish, Emily Jane; Decker, Jared E; Schnabel, Robert D; Taylor, Jeremy F; Hillis, David M
2013-04-01
Previous archeological and genetic research has shown that modern cattle breeds are descended from multiple independent domestication events of the wild aurochs (Bos primigenius) ∼10,000 y ago. Two primary areas of domestication in the Middle East/Europe and the Indian subcontinent resulted in taurine and indicine lines of cattle, respectively. American descendants of cattle brought by European explorers to the New World beginning in 1493 generally have been considered to belong to the taurine lineage. Our analyses of 47,506 single nucleotide polymorphisms show that these New World cattle breeds, as well as many related breeds of cattle in southern Europe, actually exhibit ancestry from both the taurine and indicine lineages. In this study, we show that, although European cattle are largely descended from the taurine lineage, gene flow from African cattle (partially of indicine origin) contributed substantial genomic components to both southern European cattle breeds and their New World descendants. New World cattle breeds, such as Texas Longhorns, provide an opportunity to study global population structure and domestication in cattle. Following their introduction into the Americas in the late 1400s, semiferal herds of cattle underwent between 80 and 200 generations of predominantly natural selection, as opposed to the human-mediated artificial selection of Old World breeding programs. Our analyses of global cattle breed population history show that the hybrid ancestry of New World breeds contributed genetic variation that likely facilitated the adaptation of these breeds to a novel environment. PMID:23530234
9 CFR 93.427 - Cattle from Mexico.
2010-01-01
... 9 Animals and Animal Products 1 2010-01-01 2010-01-01 false Cattle from Mexico. 93.427 Section 93... CONVEYANCE AND SHIPPING CONTAINERS Ruminants Mexico 10 § 93.427 Cattle from Mexico. (a) Cattle and other ruminants imported from Mexico, except animals being transported in bond for immediate return to Mexico...
Ouma, Emily Awuor; Obare, Gideon A.; Staal, Steven J.
2003-01-01
This paper uses data from a survey of two hundred and fifty cattle households in three cattle keeping systems; intensive, semi-intensive and extensive systems to estimate the value of non-market, socio-economic benefits of cattle in Kenya. These benefits of cattle keeping are of special importance in developing countries, where financial markets function poorly and opportunities for risk management through formal insurance generally absent. However, when estimating the total contribution of l...
Gendered Perceptions of Sexual Behaviour in Rural South Africa
Directory of Open Access Journals (Sweden)
C. Ndinda
2011-01-01
Full Text Available This paper discusses sexual behaviour findings collected through eleven homogenous focus group discussions conducted among women and men in a predominantly Zulu population in rural KwaZulu-Natal, South Africa. The objective of this paper is to shed light on sexual behaviour in a rural community. The findings suggest that sex is a taboo subject and the discussion around it is concealed in the use of polite language, euphemisms, and gestures. There are gender and generational dimensions to the discussion of sex. The contribution of this paper lies in the identification of what rural people discuss about sex and the influence of cultural practices and urban or global forces on sexual behaviour in rural areas. The paper adds to the growing body of literature on the use of focus groups in understanding sexual behaviour in rural contexts.
Selection criteria in organic cattle breeding
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Savić Mila
2014-01-01
Full Text Available The central issue in process of organizing organic cattle breeding is the knowledge about specificities of this kind of production, good knowledge of breed characteristics (body composition, immune tolerance, expressed predisposition towards some diseases, production properties. Research centres, in collaboration with producers, have defined the essential features on which the selection programmes in organic cattle breeding are based on. Of the greatest importance for veterinary service is the fact that selection programmes in organic cattle breeding are in the first place based on giving priority to healthy animals, with strong immune system, good reproductive characteristics, which can be in production system for a long period. Additional important selective criteria is specific body resistance and adaptability of autochtonous breeds to environmental conditions. [Projekat Ministarstva nauke Republike Srbije, br. TP 31085
DEVELOPMENT OF INTEGRATED CATTLE GENOMICS KNOWLEDGE BASE
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Minja Zorc
2015-09-01
Full Text Available Systems biology approaches being applied to animal breeding represent an opportunity to derive greater benefits from animal production systems. The increasingly detailed investigations in systems biology have led to a large amount of data dispersed over various sources; therefore, a centralized knowledge base is in demand. In this study, we have integrated cattle genomics data of heterogeneous sources and types and developed a bioinformatics tool to study genotype-phenotype associations in cattle: http://integromics-time.com/integromics-database/. The tool enables revealing genomic overlaps within trait-associated loci and identification of potential functional candidates. It might be also used as a tool for planning genotype– phenotype research in cattle.
Analysis of cattle movements in Argentina, 2005.
Aznar, M N; Stevenson, M A; Zarich, L; León, E A
2011-02-01
We describe the movement of cattle throughout Argentina in 2005. Details of farm-to-farm and farm-to-slaughter movements of cattle were obtained from the Sanitary Management System database (Sistema de Gestión Sanitaria, SGS), maintained by the National Service for Agrifood Health and Quality (SENASA). Movements were described at the regional and district level in terms of frequency, the number of stock transported, the district of origin and destination and Euclidean distance traveled. Social network analysis was used to characterize the connections made between regions and districts as a result of cattle movement transactions, and to show how these characteristics might influence disease spread. Throughout 2005 a total of 1.3 million movement events involving 32 million head of cattle (equivalent to approximately 57% of the national herd) were recorded in the SGS database. The greatest number of farm-to-farm movements occurred from April to June whereas numbers of farm-to-slaughter movement events were relatively constant throughout the year. Throughout 2005 there was a 1.1-1.6-fold increase in the number of farm-to-farm movements of cattle during April-June, compared with other times of the year. District in-degree and out-degree scores varied by season, with higher maximum scores during the autumn and winter compared with summer and spring. Districts with high in-degree scores were concentrated in the Finishing region of the country whereas districts with high out-degree scores were concentrated not only in the Finishing region but also in Mesopotamia, eastern Border and southern Central regions. Although movements of cattle from the Border region tended not to be mediated via markets, the small number of districts in this area with relatively high out-degree scores is a cause for concern as they have the potential to distribute infectious disease widely, in the event of an incursion. PMID:21122931
Accidental monensin sodium intoxication of feedlot cattle.
Schweitzer, D; Kimberling, C; Spraker, T; Sterner, F E; McChesney, A E
1984-05-15
Of 1,994 yearling and 2-year-old cattle in a winter feeding program, 117 died within 42 days of being fed toxic amounts of monensin sodium in a liquid protein supplement. Death losses commenced on the third day after ingestion of a toxic amount in the feed. Clinical signs in cattle that died in less than 9 days included anorexia, pica, diarrhea, depression, mild hindlimb ataxia, and dyspnea. Gross necropsy findings in cattle dying in the acute phase of the illness included hydrothorax, ascites, and pulmonary edema, as well as petechial hemorrhages, edema, and yellow streaking in skeletal and cardiac muscle. Cattle dying after 9 days had gray streaks in heart and skeletal muscle, generalized ventral edema, enlarged, firm, bluish discolored liver, and enlarged heart. Microscopic changes in cattle dying in the acute phase (less than 9 days) consisted of pulmonary edema, congestion, and hemorrhage. Cardiac and skeletal muscle had localized areas of edema, hemorrhage, and coagulative necrosis. In cattle dying after 9 days of illness, the changes included lymphocytic infiltration, sarcolemmal nuclear proliferation, and fibrosis in skeletal and cardiac muscle. Lungs contained increased alveolar macrophages and a few neutrophils. Centrilobular necrosis and mild fibrosis were found in the liver. Changes varied somewhat according to the area of heart or skeletal muscle that was affected. Active muscles, eg, those in the heart ventricles and diaphragm, were altered most severely. Intoxication appeared to be a result of sedimentation of monensin in the molasses carrier to give remarkable concentrations of the substance at the bottom of the holding tank. PMID:6735846
Neospora caninum is now recognized as a major cause of abortion in cattle worldwide, but there is no report of N. caninum infection in cattle in India. Serum samples from 427 dairy cattle and 32 dairy water buffaloes from 7 organized dairy farms located in Punjab, India, were tested for N. caninum a...
Gardner, Benjamin; Smith, Lee; Lorencatto, Fabiana; Hamer, Mark; Biddle, Stuart Jh
2016-03-01
Sedentary behaviour - i.e., low energy-expending waking behaviour while seated or lying down - is a health risk factor, even when controlling for physical activity. This review sought to describe the behaviour change strategies used within interventions that have sought to reduce sedentary behaviour in adults. Studies were identified through existing literature reviews, a systematic database search, and hand-searches of eligible papers. Interventions were categorised as 'very promising', 'quite promising', or 'non-promising' according to observed behaviour changes. Intervention functions and behaviour change techniques were compared across promising and non-promising interventions. Twenty-six eligible studies reported thirty-eight interventions, of which twenty (53%) were worksite-based. Fifteen interventions (39%) were very promising, eight quite promising (21%), and fifteen non-promising (39%). Very or quite promising interventions tended to have targeted sedentary behaviour instead of physical activity. Interventions based on environmental restructuring, persuasion, or education were most promising. Self-monitoring, problem solving, and restructuring the social or physical environment were particularly promising behaviour change techniques. Future sedentary reduction interventions might most fruitfully incorporate environmental modification and self-regulatory skills training. The evidence base is, however, weakened by low-quality evaluation methods; more RCTs, employing no-treatment control groups, and collecting objective data are needed. PMID:26315814
Directory of Open Access Journals (Sweden)
Cristina Sartori
2014-10-01
Full Text Available Cattle establish firm dominance relationships through ritualised fights. This study aimed at investigating behaviours involved in dominance relationships and effect of factors such as weight, age and repeated fighting experience in fighting dynamics. Subject of the study was the Valdostana breed, whose cows assess dominance relationships in traditional competitions. Tournaments consist in rounds in which cows interact in pairs to assess dominance. Only winners participate in subsequent rounds. An amount of 120 fights involving 145 cows was retained, and winners (51 cows were considered as focal individuals. An ethogram of agonistic interactions was established, including behaviours of different agonistic intensity as physical interactions (pushes, clashes, displays (threats, vocalisations, and non agonistic approaches. A transition diagram of behaviours showed a tendency to express firstly non agonistic approaches and lastly more aggressive clashes. A mixed linear model analysis on traits like competition intensity, duration, and type of behaviours expressed showed a significant effect of age difference on behaviours. However, the most important factor was the number of rounds performed: from the first to subsequent fights agonistic intensity and physical contacts increased, and displays reduced. This may be due either to the fact that more aggressive individuals were likely to be the winners, or that in higher rounds the opponents were more similar regarding fighting ability or aggressiveness and thus more intense fights occurred. The increased aggressiveness after repeated situations of competition suggests suggests that careful attention should be paid to welfare when animals are exposed to situations of high competition, like regrouping.
Tritrichomonas foetus Prevention and Control in Cattle.
Ondrak, Jeff D
2016-07-01
Bovine trichomoniasis has been recognized as a pathogen of the bovine reproductive tract for nearly 100 years. Although characteristics of the causative organism, Tritrichomonas foetus lend to control and there are examples of disease eradication, cattle producers are still faced with this disease. This article highlights the clinical presentation, magnitude of effect, risk factors, epidemiology, and sample collection and suggests applications in developing herd-level control measures for beef cattle producers including testing strategies for control, testing strategies for surveillance, strategies to eliminate trichomoniasis from infected herds, and strategies for prevention in uninfected herds. PMID:27039692
Pedigree analysis of Italian beef cattle breeds.
O. Franci; Forabosco, F.; F. Sirtori; Bozzi, R.
2003-01-01
Trend in inbreeding is the most frequently used method to quantify the rate of genetic drift but, as pointed out by Maignel et al. (1996), it relies on some assumption that could be not fully satisfied in cattle populations. In fact, trend in inbreeding is very sensitive to the quality of the available pedigree information and some beef cattle populations might have a large amount of missing information. An alternative way to quantify the genetic drift is to utilise the method based on probab...
Diseases of yearling feedlot cattle in Colorado.
Jensen, R; Pierson, R E; Braddy, P M; Saari, D A; Lauerman, L H; England, J J; Horton, D P; McChesney, A E
1976-09-01
During all of 1974 we surveyed, for illnesses and deaths, about 407,000 yearling feedlot cattle. The morbidity was 5.1%, with a case mortality of 18.9% and a population mortality of 1.0%. Both morbidity and mortality were higher during fall and winter than during spring and summer. Of the 3,943 dead cattle, 1,988 were necropsied. The most prevalent diseases were: pneumonia, 48%; diphtheria, 6%; brisket disease, 6%; hemorrhagic colitis, 5%; riding injury, 4%; bloat, 3%; calculosis, 2%; endocarditis, 2%; abomasal ulcers, 2%; bovine viral diarrhea, 2%; embolic pulmonary aneurysm, 1%; and pulmonary edema, 1%. PMID:956027
LIE algebraic treatment of linear and nonlinear beam dynamics
Energy Technology Data Exchange (ETDEWEB)
Dragt, A.J.; Neri, F.; Rangarajan, G.; Douglas, D.R.; Healy, L.M.; Ryne, R.D.
1988-01-01
The purpose of this paper is to present a summary of new methods employing Lie algebraic tools for characterizing beam dynamics in charged- particle optical systems. These methods are applicable to accelerator design, charged-particle beam transport, electron microscopes, and also light optics. The new methods represent the action of each separate element of a compound optical system, including all departures from paraxial optics by a certain operator. The operators can then be concatenated following well defined rules to obtain a resultant operator that characterizes the entire system. (AIP)
Generalized Lotka—Volterra systems connected with simple Lie algebras
Charalambides, Stelios A.; Damianou, Pantelis A.; Evripidou, Charalambos A.
2015-06-01
We devise a new method for producing Hamiltonian systems by constructing the corresponding Lax pairs. This is achieved by considering a larger subset of the positive roots than the simple roots of the root system of a simple Lie algebra. We classify all subsets of the positive roots of the root system of type An for which the corresponding Hamiltonian systems are transformed, via a simple change of variables, to Lotka-Volterra systems. For some special cases of subsets of the positive roots of the root system of type An, we produce new integrable Hamiltonian systems.
T*-extension of Lie Sup ertriple Systems
Institute of Scientific and Technical Information of China (English)
Feng Jian-qiang
2014-01-01
In this article, we study the Lie supertriple system (LSTS) T over a field K admitting a nondegenerate invariant supersymmetric bilinear form (call such a Tmetrisable). We give the definition of T*ω-extension of an LSTS T , prove a necessary and sufficient condition for a metrised LSTS (T ,ϕ) to be isometric to a T*-extension of some LSTS, and determine when two T*-extensions of an LSTS are “same”, i.e., they are equivalent or isometrically equivalent.
Spectroscopy of gauge theories based on exceptional Lie groups
International Nuclear Information System (INIS)
We generate by computer a basis of invariants for the fundamental representations of the exceptional Lie groups E6 and E7, up to degree 18. We discuss the relevance of this calculation for the study of supersymmetric gauge theories, and revisit the self-dual exceptional models. We study the chiral ring of G2 to degree 13, as well as a few classical groups. The homological dimension of a ring is a natural estimator of its complexity and provides a guideline for identifying theories that have a good chance to be amenable to a solution. (author)
Microscopic study of low-lying collectivebands in 77Kr
Indian Academy of Sciences (India)
K C Tripathy; R Sahu; S Mishra
2006-02-01
The structure of the collective bands in 77Kr is investigated within our deformed shell model (DSM) based on Hartree-Fock states. The different levels are classified into collective bands on the basis of their (2) values. The calculated = 5/2+ ground band agrees reasonably well with the experiment. An attempt has been made to study the structure of the 3-quasiparticle band based on large state in this nucleus. The calculated collective bands, the (2), and (1) values are compared with available experimental data. The nature of alignments in the low-lying bands is also analyzed.
Supersymmetric quantum corrections and Poisson-Lie T-duality
International Nuclear Information System (INIS)
The quantum actions of the (4,4) supersymmetric non-linear sigma model and its dual in the Abelian case are constructed by using the background superfield method. The propagators of the quantum superfield and its dual and the gauge fixing actions of the original and dual (4,4) supersymmetric sigma models are determined. On the other hand, the BRST transformations are used to obtain the quantum dual action of the (4,4) supersymmetric nonlinear sigma model in the sense of Poisson-Lie T-duality. (author)
Different Connotations of "Modesty" Lying in Western and Eastern Culture
Institute of Scientific and Technical Information of China (English)
涂艳
2015-01-01
as a common morality,politeness is the symbol of human civilization and a primary principle abided by people in interpersonal communication.However,the standard and the way of expression of politeness are fluctuated with different culture.This essay takes analysis on different connotations of"modesty" lying in the western culture and eastern culture deeply and explains the cause for that,for the purpose of helping people avoid pragmatic mistake in intercultural communication at the best to achieve considerable communicative effect.
Shipbuilding power lies in high-end market
Institute of Scientific and Technical Information of China (English)
2011-01-01
The 2011 edition of Guideline Index for Readjusting Industrial Structure issued by the National Development and Reform Commission underlines the construction of high-end ships and the upgrading of shipbuilding technology.This shows that ifChina's shipbuilding industry is to become powerful,it should go all out to open up the fields of high-end ship construction so that the industry may have a greater share in the world market.Therefore,the power of our shipbuilding industry lies in the high-end market.
A New Lie Algebra and Its Related Liouville Integrable Hierarchies
International Nuclear Information System (INIS)
A new Lie algebra G and its two types of loop algebras G-tilde1 and G-tilde2 are constructed. Basing on G-tilde1 and G-tilde2, two different isospectral problems are designed, furthermore, two Liouville integrable soliton hierarchies are obtained respectively under the framework of zero curvature equation, which is derived from the compatibility of the isospectral problems expressed by Hirota operators. At the same time, we obtain the Hamiltonian structure of the first hierarchy and the bi-Hamiltonian structure of the second one with the help of the quadratic-form identity. (general)
GENERALIZED DERIVATIONS ON PARABOLIC SUBALGEBRAS OF GENERAL LINEAR LIE ALGEBRAS
Institute of Scientific and Technical Information of China (English)
陈正新
2014-01-01
Let P be a parabolic subalgebra of a general linear Lie algebra gl(n, F) over a field F, where n ≥ 3, F contains at least n different elements, and char(F) 6= 2. In this article, we prove that generalized derivations, quasiderivations, and product zero derivations of P coincide, and any generalized derivation of P is a sum of an inner derivation, a central quasiderivation, and a scalar multiplication map of P. We also show that any commuting automorphism of P is a central automorphism, and any commuting derivation of P is a central derivation.
Recursion relations and branching rules for simple Lie algebras
Lyakhovsky, V D
1995-01-01
The branching rules between simple Lie algebras and its regular (maximal) simple subalgebras are studied. Two types of recursion relations for anomalous relative multiplicities are obtained. One of them is proved to be the factorized version of the other. The factorization property is based on the existence of the set of weights \\Gamma specific for each injection. The structure of \\Gamma is easily deduced from the correspondence between the root systems of algebra and subalgebra. The recursion relations thus obtained give rise to simple and effective algorithm for branching rules. The details are exposed by performing the explicit decomposition procedure for A_{3} \\oplus u(1) \\rightarrow B_{4} injection.
Transition Properties of Low Lying States in Atomic Indium
Sahoo, B K
2011-01-01
We present here the results of our relativistic many-body calculations of various properties of the first six low-lying excited states of indium. The calculations were performed using the relativistic coupled-cluster method in the framework of the singles, doubles and partial triples approximation. We obtain a large lifetime ~10s for the [4p^6]5s^2 5p_{3/2} state, which had not been known earlier. Our precise results could be used to shed light on the reliability of the lifetime measurements of the excited states of atomic indium that we have considered in the present work.
Highest weight representations of infinite dimensional Lie algebra
Kac, Victor G
1988-01-01
This book is a collection of a series of lectures given by Prof. V Kac at Tata Institute, India in Dec '85 and Jan '86. These lectures focus on the idea of a highest weight representation, which goes through four different incarnations.The first is the canonical commutation relations of the infinite-dimensional Heisenberg Algebra (= oscillator algebra). The second is the highest weight representations of the Lie algebra gl∞ of infinite matrices, along with their applications to the theory of soliton equations, discovered by Sato and Date, Jimbo, Kashiwara and Miwa. The third is the unitary hig
Diagnostic imaging of lying [Obrazowanie diagnostyczne kłamstwa
Lass, Piotr; Sławek, Jarosław; Sitek, Emilia; Szurowska, Edyta; Zimmermann, Agnieszka
2013-01-01
Functional diagnostic imaging has been applied in neuropsychology for more than two decades. Nowadays, the functional magnetic resonance (fMRI) seems to be the most important technique. Brain imaging in lying has been performed and discussed since 2001. There are postulates to use fMRI for forensic purposes, as well as commercially, e.g. testing the loyalty of employees, especially because of the limitations of traditional polygraph in some cases. In USA fMRI is performed in truthfulness/lyin...
The H$_2^+$ molecular ion: low-lying states
Olivares-Pilón, Horacio; Turbiner, Alexander V
2014-01-01
Matching for a wavefunction the WKB expansion at large distances and Taylor expansion at small distances leads to a compact, few-parametric uniform approximation found in {\\it J. Phys. B44, 101002 (2011)}. The ten low-lying eigenstates of H$_2^+$ of the quantum numbers $(n,m,\\La,\\pm)$\\, with $n=m=0$ at $\\La=0,1,2$, with $n=1$, $m=0$ and $n=0$, $m=1$ at $\\La=0$ of both parities are explored for all interproton distances $R$. For all these states this approximation provides the relative accurac...
Lie Particle And Its Batalin-Tyutin Extension
Ghosh, S; Ghosh, Subir; Pal, Probir
2006-01-01
In this Letter we have proposed a point particle model that generates a noncommutative three-space, with the coordinate brackets being Lie algebraic in nature. The work is in the spirit of our earlier works in this connection, i.e., PLB 618 (2005)243 and PLB 623 (2005)251. This non-linear and operatorial nature of the configuration space coordinate algebra can pose problems regarding its quantization. This prompts us to embed the model in the Batalin-Tyutin extended space where the equivalent model comprises of phase space variables satisfying a canonical algebra.
Quantum stochastic calculus and representations of Lie superalgebras
Eyre, Timothy M W
1998-01-01
This book describes the representations of Lie superalgebras that are yielded by a graded version of Hudson-Parthasarathy quantum stochastic calculus. Quantum stochastic calculus and grading theory are given concise introductions, extending readership to mathematicians and physicists with a basic knowledge of algebra and infinite-dimensional Hilbert spaces. The develpment of an explicit formula for the chaotic expansion of a polynomial of quantum stochastic integrals is particularly interesting. The book aims to provide a self-contained exposition of what is known about Z_2-graded quantum stochastic calculus and to provide a framework for future research into this new and fertile area.
Masses of lowest lying heavy mesons in QCD
International Nuclear Information System (INIS)
Using QCD sum rules for a polarization operator which is induced by all possible currents with Jsup(PC)= O--, 1--, 0++, 1++ and 2++ the S- and P-states of charmonium are calculated. Power corrections due to the gluon condensate operator Gsub(μupsilon)sup(a) Gsub(μupsilon)sup(a) are included and shown to be very important. All known lowest lying charmonium states are reproduced extremely well and a firm prediction is made for the 1P1 state. (author)
International Workshop "Groups, Rings, Lie and Hopf Algebras"
2003-01-01
The volume is almost entirely composed of the research and expository papers by the participants of the International Workshop "Groups, Rings, Lie and Hopf Algebras", which was held at the Memorial University of Newfoundland, St. John's, NF, Canada. All four areas from the title of the workshop are covered. In addition, some chapters touch upon the topics, which belong to two or more areas at the same time. Audience: The readership targeted includes researchers, graduate and senior undergraduate students in mathematics and its applications.
Low lying charmonium states at the physical point
Mohler, Daniel; Kronfeld, Andreas S; Lee, Song-haeng; Levkova, Ludmila; Simone, J N
2014-01-01
We present results for the mass splittings of low-lying charmonium states from a calculation with Wilson clover valence quarks with the Fermilab interpretation on an asqtad sea. We use five lattice spacings and two values of the light sea quark mass to extrapolate our results to the physical point. Sources of systematic uncertainty in our calculation are discussed and we compare our results for the 1S hyperfine splitting, the 1P-1S splitting and the P-wave spin orbit and tensor splittings to experiment.
Hyperfine Constants for Low-Lying States in 137Ba+
Institute of Scientific and Technical Information of China (English)
无
2007-01-01
Relativistic many-body perturbation calculation is applied to calculate the hyperfine constants for the low-lying states 6S1/2, 6P1/2, 6P3/2, 5D3/2, and 5D5/2 in the alkaline earth ion 137Ba+. The zeroth-order hyperfine constants are calculated with Dirac-Fock wave functions, and the finite basis sets of the Dirac-Fock equation are constructed by B splines. With the finite basis sets, the core polarization and the correlation effect are calculated. The final results for magnetic dipole hyperfine a constants are obtained.
Pure Spinors in AdS and Lie Algebra Cohomology
Mikhailov, Andrei
2014-10-01
We show that the BRST cohomology of the massless sector of the Type IIB superstring on AdS5 × S 5 can be described as the relative cohomology of an infinite-dimensional Lie superalgebra. We explain how the vertex operators of ghost number 1, which correspond to conserved currents, are described in this language. We also give some algebraic description of the ghost number 2 vertices, which appears to be new. We use this algebraic description to clarify the structure of the zero mode sector of the ghost number two states in flat space, and initiate the study of the vertices of the higher ghost number.