Results 71 to 80 of about 107,381 (262)
BRST Operator for Quantum Lie Algebras: Relation to Bar Complex
, 2007 Quantum Lie algebras (an important class of quadratic algebras arising in the Woronowicz calculus on quantum groups) are generalizations of Lie (super) algebras. Many notions from the theory of Lie (super)algebras admit ``quantum'' generalizations.
Gorbounov, V. G. +2 more
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Dynamical equations of multibody systems on Lie groups
Advances in Mechanical Engineering, 2015 The Euler–Poinaré principle is a reduced Hamilton’s principle under Lie group framework. In this article, it is applied to derive a hybrid set of dynamical equations of rigid multibody systems, which include four parts: the classical Euler–Lagrange ...
Wenjie Yu, Zhenkuan Pan
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BPS spectra of N=2 SO7 and SP4 models
Nuclear Physics B, 2017 Extending the folding method of ADE Dynkin diagrams of Lie algebras to BPS quivers of 4d N=2 supersymmetric gauge theory with ADE type gauge invariance, we study the BPS spectra for gauge symmetries with non-simply laced Lie algebras. Focussing on the 4d
R. Ahl Laamara, O. Mellal, E.H. Saidi
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Classification of Traces and Associated Determinants on Odd-Class Operators in Odd Dimensions
Symmetry, Integrability and Geometry: Methods and Applications, 2012 To supplement the already known classification of traces on classical pseudodifferential operators, we present a classification of traces on the algebras of odd-class pseudodifferential operators of non-positive order acting on smooth functions on a ...
Carolina Neira Jiménez +1 more
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Fine Gradings of Low-Rank Complex Lie Algebras and of Their Real Forms
Symmetry, Integrability and Geometry: Methods and Applications, 2008 In this review paper, we treat the topic of fine gradings of Lie algebras. This concept is important not only for investigating the structural properties of the algebras, but, on top of that, the fine gradings are often used as the starting point for ...
Milena Svobodová
doaj
Quiver theories and formulae for nilpotent orbits of Exceptional algebras
Journal of High Energy Physics, 2017 We treat the topic of the closures of the nilpotent orbits of the Lie algebras of Exceptional groups through their descriptions as moduli spaces, in terms of Hilbert series and the highest weight generating functions for their representation content.
Amihay Hanany, Rudolph Kalveks
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Notes on G2: The Lie algebra and the Lie group [PDF]
Differential Geometry and its Applications, 2018 These notes have been prepared for the Workshop on "(Non)-existence of complex structures on $\mathbb{S}^6$", to be celebrated in Marburg in March, 2017. The material is not intended to be original. It contains a survey about the smallest of the exceptional Lie groups: $G_2$, its definition and different characterizations joint with its relationship ...
openaire +4 more sources
Complete classification of homogeneous structures on Lorentzian direct extensions of the Heisenberg group [PDF]
ریاضی و جامعهThe Heisenberg Lie group is one of the most famous and important Lie groups among the family of three dimensional Lie groups. The direct extension of this group to the fourth dimension was taken into consideration in the study of the nilpotent Lie ...
Amirhesam Zaeim +2 more
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On torsion-free abelian groups and Lie algebras [PDF]
, 1958 Richard E. Block
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On the three-dimensional cohomology group of Lie algebras. [PDF]
, 1953 Mitsuya Mori
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