搜索结果: 1-15 共查到“李代数 Algebras”相关记录34条 . 查询时间(0.056 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...
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: 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...
Universal equivalence of partially commutative metabelian Lie algebras
Lie algebras Universal equivalence Rings and Algebras
2011/8/23
Abstract: In this paper, we find a criterium for universal equivalence of partially commutative Lie algebras whose defining graphs are trees. Besides, we obtain bases for partially commutative metabel...
Multiplicity-Free Representations of Divergence-Free Lie Algebras
divergence-free Lie algebra Cartan type graded modules irreducible modules
2011/2/21
Divergence-free Lie algebras (also known as the special Lie algebras of Cartan type) are
Lie algebras of volume-preserving transformation groups. They are simple in generic case.
Dokovic and Zhao fo...
We study algebras that are isotopic to Hurwitz algebras. Isomorphism classes of such algebras are shown to correspond to orbits of a certain group action. An explicit, geometrically
intutive descript...
In this paper, linear bases for the partially commutative Lie alge-bras are found. The method of the Gr¨obner–Shirshov bases is used.
Super duality and homology of unitarizable modules of Lie algebras
Super duality homology of unitarizable modules of Lie algebras
2011/1/18
The u-homology formulas for unitarizable modules at negative levels over classical Lie algebras of infinite rank of types gl(n), sp(2n) and so(2n) are obtained.As a consequence, we recover the Enright...
Given an element P(X1, . . . ,Xd) of the free Lie K-algebra Ld, for any Lie algebra g we can consider the induced polynomial map P : gd → g. Assuming that K is an arbitrary field of characteristic 6= ...
We study ‘silting mutaion’ for self-injective algebras. In particular we focus on ‘tilting
mutation’ and show that iterated irreducible ‘silting mutation’ transitively act on the set of silting objec...
Cellular and quasihereditary structures of generalized quantized Schur algebras
Cellular quasihereditary structures generalized quantized Schur algebras
2011/3/1
We give a self-contained derivation of a new cellular basis of generalized quantized Schur algebras, independent of the theory of quantum groups.
In prime characteristic we introduce the notion of restricted pre-Lie algebra. We prove in the pre-Lie context the analogue to Jacobson's theorem for restricted Lie algebras. In particular, we prove t...
Universal central extensions of twisted forms of split simple Lie algebras over rings
Universal central extensions Lie algebras
2010/11/23
We give sufficient conditions for the descent construction to be the universal central extension of a twisted form of a split simple Lie algebra over a ring. In particular, the universal central exten...