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
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
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
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
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
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
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
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.
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.
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
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
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
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
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...
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.
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.
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.
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...
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
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.
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.
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
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".
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
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
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
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
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.
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
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
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
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
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?
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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.
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
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
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
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
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
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
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
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
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
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
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?
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...
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
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
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
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.
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
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
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
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
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
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
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
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
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
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
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.
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
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
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
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
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
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
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
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
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
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
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
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
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
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...
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
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