搜索结果: 1-15 共查到“数学 Lie algebras”相关记录41条 . 查询时间(0.078 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: 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...
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...
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...
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...
Abstract: In this paper, we develop a diamond graph theory and apply the theory to the (co)homology of the Lie algebra generated by positive systems of the classical semi-simple Lie algebras over the ...
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...
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...