搜索结果: 1-15 共查到“Lie Algebras”相关记录54条 . 查询时间(0.11 秒)
A Pre-Lie algebra is a vector space L endowed with a bilinear product * : L \times L to L satisfying the relation (x*y)*z-x*(y*z)= (x*z)*y-x*(z*y), for all x,y,z in L. We give an explicit combinatoria...
Geometric representation theory of restricted lie algebras
Map building lie algebra and classical lie algebras tectonic change lines etc
2014/12/29
We modify the Hochschild -map to construct central extensions of a restricted Lie algebra. Such central extension gives rise to a goup scheme that leads to a geometric construction of unrestricted rep...
The paper develops a linearized notion of Lusztig's character sheaves (on Lie algebras rather then on groups), which contains Lusztig's class of character sheaves on Lie algebras. The theory is indepe...
Singular localization and intertwining functors for reductive Lie algebras in prime characteristic
Lie algebra semisimple algebra group Springer fiber localization module is fixed
2014/12/25
In [BMR] we observed that, on the level of derived categories, representations of the Lie algebra of a semisimple algebraic group over a field of finite characteristic with a given (generalized) {\em ...
Representations of solvable Lie algebras with filtrations
Representations solvable Lie algebras filtrations
2012/3/1
We construct representation theory of Lie algebras with filtrations. In this framework a classification of irreducible representations is obtained and spectra of some reducible representations are fou...
Abstract: We investigate the vanishing of the group SK1(A(G)) for the Iwasawa algebra A(G) of a pro-p p-adic Lie group G (with p different from 2). We reduce this vanishing to a linear algebra problem...
Affine.m - Mathematica package for computations in representation theory of finite-dimensional and affine Lie algebras
Mathematica Lie algebra ane Lie algebra Kac-Moody algebra root system weights irreducible modules CFT Integrable systems
2011/9/19
Abstract: In this paper we present Affine.m - program for computations in representation theory of finite-dimensional and affine Lie algebras and describe implemented algorithms. Algorithms are based ...
Abelianizations of derivation Lie algebras of free associative algebra and free Lie algebra
moduli space of curves Lie algebra homology graph homology derivation
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...
Simple Lie algebras arising from Leavitt path algebras
Leavitt path algebra simple Lie algebra commutator
2011/9/9
Abstract: For a field K and directed graph E, we analyze those elements of the Leavitt path algebra L_K(E) which lie in the commutator subspace [L_K(E), L_K(E)]. This analysis allows us to give easily...
Transitive Lie algebras of vector fields---an overview
Transitive Lie algebras vector fields Differential Geometry
2011/9/6
Abstract: This overview paper is intended as a quick introduction to Lie algebras of vector fields. Originally introduced in the late 19th century by Sophus Lie to capture symmetries of ordinary diffe...
Classification of Simple Lie Algebras on a Lattice
Simple Lie Algebras Lattice Representation Theory Mathematical Physics
2011/9/1
Abstract: Let $\Lambda$ be a lattice of rank $n$. A Lie algebra on the lattice $\Lambda$ is a Lie algebra ${\cal L}=\oplus_{\lambda\in\Lambda}\,{\cal L}_{\lambda}$ such that $\dim\,{\cal L}_\lambda=1$...
Abstract: In the note some construction of Lie algebras is introduced. It is proved that the construction has the same property as a well known wreath product of groups [1]: Any extension of groups ca...
Abstract: At the previous congress (CRM 6), we reviewed the construction of Yang-Baxter operators from associative algebras, and presented some (colored) bialgebras and Yang-Baxter systems related to ...
New Irreducible Modules for Heisenberg and Affine Lie Algebras
Irreducible Modules Heisenberg Affine Lie Algebras
2011/8/25
Abstract: We study $\mathbb Z$-graded modules of nonzero level with arbitrary weight multiplicities over Heisenberg Lie algebras and the associated generalized loop modules over affine Kac-Moody Lie a...
A remarkable contraction of semisimple Lie algebras
Inonu-Wigner contraction coadjoint representation algebra of invariants orbit
2011/8/25
Abstract: Recently, E.Feigin introduced a very interesting contraction $\mathfrak q$ of a semisimple Lie algebra $\mathfrak g$ (see arXiv:1007.0646 and arXiv:1101.1898). We prove that these non-reduct...