搜索结果: 46-60 共查到“知识库 李代数”相关记录78条 . 查询时间(2.53 秒)
On cohomology and support varieties for Lie superalgebras
cohomology varieties Lie superalgebras
2010/12/8
Support varieties for Lie superalgebras over the complex numbers were introduced in [BKN1] using the relative cohomology. In this paper we discuss finite generation of the relative cohomology rings fo...
Automorphism group and ad-invariant metric on all six dimensional solvable real Lie algebras
Automorphism group ad-invariant metric all six dimensional solvable real Lie algebras
2010/11/30
Using adjoint representation of Lie algebras, we calculate the automorphism group and ad-invariant metric on six dimensional solvable real Lie algebras with 5, 4 and 3 dimensional nilradicals.
M. Kontsevich's graph complex and the Grothendieck-Teichmueller Lie algebra
Formality Deformation Quantization Operads
2010/12/1
We show that the zeroth cohomology of Kontsevich’s graph complex is isomorphic to the Grothendieck-Teichm¨uller Lie algebra grt. The map is explicitly described.
Inner Automorphisms of Lie Algebras Related with Generic 2 x 2 Matrices
free Lie algebras generic matrices inner automorphisms
2010/12/13
Let Fm = Fm(varsl2(K)) be the relatively free algebra of rank m in the variety of Lie algebras generated by the algebra sl2(K) over a field K of characteristic 0.
Hom-Lie Algebras with Symmetric Invariant NonDegenerate Bilinear Forms
Hom-Lie algebra representation quadratic form quadratic Hom-Lie algebra
2010/12/9
The aim of this paper is to introduce and study quadratic Hom-Lie algebras, which are Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms. We provide several onstructions
leading t...
The Dixmier map for nilpotent super Lie algebras
Dixmier map Kirillov orbit method Lie superalgebras representation theory
2010/11/30
In this article we prove that there exists a Dixmier map for nilpotent super Lie algebras. In other words, if we denote by Prim(U(g)) the set of (graded) primitive ideals of the enveloping algebra U(g...
Irregular locus of the commuting variety of reductive symmetric Lie algebras and rigid pairs
Irregular locus of the commuting variety reductive symmetric Lie algebras and rigid pairs
2010/11/29
The aim of this paper is to describe the irregular locus of the commuting variety of a reductive symmetric Lie algebra. More precisely, we want to enlighten a remark of Popov. In [Po], the irregular l...
We obtain a projective submodule of Lie(n) in prime char-acteristic p for n not a p-power, and show that the ratio of its dimension to that of Lie(n) approaches 1 as n tends to infinity.
Permutation Weights and Modular Poincare Polynomials for Affine Lie Algebras
Permutation Weights Modular Poincare Polynomials Affine Lie Algebras
2010/12/8
Poincare Polynomial of a Kac-Moody Lie algebra can be obtained by classifying the
Weyl orbit W() of its Weyl vector . A remarkable fact for Affine Lie algebras is that the
number of elements of W(...
Lipschitz-Killing curvatures of self-similar random fractals
self-similar random fractals curvatures Minkowski content
2010/12/15
For a large class of self-similar random sets F in Rd geometric parameters Ck(F), k = 0, . . . , d, are introduced. They arise as a.s. (average or essential) limits of the volume Cd(F(")), the surface...
Finite dimensional irreducible representations of finite W-algebras associated to even multiplicity nilpotent orbits in classical Lie algebras
Finite dimensional irreducible representations finite W-algebras associated classical Lie algebras
2010/12/9
We consider finite W-algebras U(g, e) associated to even multiplicity nilpotent elements in classical Lie algebras. We give a classification of finite dimensional irreducible U(g, e)-modules with inte...
Gradings on the exceptional Lie algebras $F_4$ and $G_2$ revisited
Graded algebra fine grading Weyl group, octonions Albert algebra.
2010/12/1
All gradings by abelian groups are classified on the following al-gebras over an algebraically closed field F: the simple Lie algebra of type G2 (char F 6= 2, 3), the exceptional simple Jordan algebra...
Jantzen[1]利用A型李代数A2的量子包络代数Uq(sl2(C)),借助于其表示论并利用R-矩阵的方法给出了SLq(2)的定义关系式.本文对结构更为复杂的C型李代数做了类似的研究,通过Uq(sp(8))的表示理论实现了O(Spq(8))的定义关系式.
线性中立型单延迟系统李代数稳定性判据
中立型延迟微分系统 李代数 延迟独立稳定性判据
2009/9/21
研究了线性中立型单延迟微分系统的稳定性.从矩阵李代数可解性角度,推导出新的简单的延迟独立稳定性判据.
该新判据的重要意义和优越性在于首次突破了以往大多数相关文献的稳定性判据在应用上受条件 ~$\|C \|<1$,~$\rho(|C|)<1$或~$\rho(|N|)<1$的限制,从而首次成功确定了在
~$\|C\|\ge$,~$\rho(|C|)\ge1$和~$\rho(|N|)\ge1$的情形...