搜索结果: 1-15 共查到“Lie-algebra”相关记录24条 . 查询时间(0.136 秒)
Do Killing–Yano tensors form a Lie algebra?
This time - Yano tensor vector and often the curvature of spacetime
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2014/12/20
Killing–Yano tensors are natural generalizations of Killing vectors. We investigate whether Killing–Yano tensors form a graded Lie algebra with respect to the Schouten–Nijenhuis bracket. We find that ...
On the Commuting variety of a reductive Lie algebra and other related varieties
polynomial algebra complex commuting variety desingularization Gorenstein Cohen-Macaulay rational singularities cohomology
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2012/4/18
In this note, one discusses about some varieties which are constructed analogously to the isospectral commuting varieties. These varieties are subvarieties of varieties having very simple desingulariz...
Abelianizations of derivation Lie algebras of free associative algebra and free Lie algebra
moduli space of curves Lie algebra homology graph homology derivation
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2011/9/14
Abstract: We determine the abelianizations of the following three kinds of graded Lie algebras in a certain stable range: derivations of the free associative algebra, derivations of the free Lie algeb...
(p,q) D=3 Poincare supergravities from Lie algebra expansions
Lie algebra expansions High Energy Physics - Theory
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2011/10/8
Abstract: We use the expansion of superalgebras procedure (summarized in the text) to derive Chern-Simons (CS) actions for the (p,q)-Poincare supergravities in three-dimensional spacetime. After deriv...
Homology of Lie algebra of supersymmetries and of super Poincare Lie algebra
Lie algebra supersymmetries super Poincare Lie algebra High Energy Physics - Theory
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2011/7/27
Abstract: We study the homology and cohomology groups of super Lie algebra of supersymmetries and of super Poincare Lie algebra. We give complete answers for (non-extended) supersymmetry in all dimens...
Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model
Quantized Nambu-Poisson Manifolds 3-Lie Algebra Reduced Model
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2011/3/2
We consider dimensional reduction of the Bagger-Lambert-Gustavsson theory to a zero-dimensional 3-Lie algebra model and construct various stable solutions corresponding to quantized Nambu-Poisson mani...
Higher Lie algebra actions on Lie algebroids
Lie algebroid NQ-manifold double Lie algebroid higher Lie algebra action
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2011/1/17
We consider a simple instance of action up to homotopy. More precisely, we consider non-strict actions of DGLAs in degrees −1 and 0 on degree 1 NQ-manifolds. In a more conventional language this...
On the derivation algebra of the free Lie algebra and trace maps
derivation algebra free Lie algebra trace maps
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2011/1/20
In this paper, we mainly study the derivation algebra of the free Lie algebra and the Chen Lie algebra generated by the abelianization H of a free group, and trace maps.
Did a 1-dimensional magnet detect a 248-dimensional Lie algebra?
1-dimensional magnet detect 248-dimensional Lie algebra
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2011/2/28
About a year ago, a team of physicists reported in Science that they had observed \evidence for E8 symmetry" in the laboratory. This expository article is aimed at mathematicians and explains the chai...
Irreducible Highest Weight Representations Of The Simple n-Lie Algebra
Irreducible Highest Weight Representations Simple n-Lie Algebra
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2010/12/24
A. Dzhumadil'daev classified all irreducible finite dimensional representations of the simple n-Lie algebra. Using a slightly different approach, we obtain in this paper a complete classification of ...
Lie Algebra Quantization by the Star Product
Lie Algebra Quantization Star Product
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2010/12/23
We apply the star product quantization to the Lie algebra. The quantization in terms of the star product is well known and the commutation relation in this case is called the $\theta$-deformation wher...
Homology of Lie algebra of supersymmetries
Lie algebra supersymmetries
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2010/12/24
We study the homology and cohomology groups of super Lie algebra of supersymmetries and of super Poincare algebra. We discuss in detail the calculation in dimensions D=10 and D=6. Our methods can be a...
On twin and anti-twin words in the support of the free Lie algebra
On twin anti-twin words the free Lie algebra
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2010/11/11
Let $L_{K}(A)$ be the free Lie algebra on a finite alphabet $A$ over a commutative ring $K$ with unity. For a word $u$ in the free monoid $A^{*}$ let $\tilde{u}$ denote its reversal. Two words in $A^...
Irreducible Highest Weight Representations Of The Simple n-Lie Algebra
Irreducible Highest Weight Representations The Simple n-Lie Algebra
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2010/11/11
A. Dzhumadil'daev classified all irreducible finite dimensional representations of the simple n-Lie algebra. Using a slightly different approach, we obtain in this paper a complete classification of ...
On the algebraic set of singular elements in a complex simple Lie algebra
algebraic singular elements
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2010/11/19
Let $G$ be a complex simple Lie group and let $\g = \hbox{\rm Lie}\,G$. Let $S(\g)$ be the $G$-module of polynomial functions on $\g$ and let $\hbox{\rm Sing}\,\g$ be the closed algebraic cone of sin...