Restricted representations of the Witt superalgebras

JOURNAL OF ALGEBRA

卷:324

Article

Shu, Bin¹  Zhang, Chaowen² 

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[2] China Univ Min & Technol, Dept Math, Xuzhou, Peoples R China

关键词: Witt superalgebras;    Kac modules;    Irreducible restricted supermodules;    Character formulas;    Cartan invariants;   

DOI  :  10.1016/j.jalgebra.2010.04.032

来源: Elsevier

【 摘 要 】

Let k be an algebraically closed field of characteristic p > 3, and W(n) the superversion of the Witt algebra over k, i.e. the Lie superalgebra of superderivations of the Grassmann algebra of rank n over k. The simple modules and projective indecomposable modules in the restricted supermodule category for W(n) are studied. The character formulas for such simple modules are given, and the Cartan invariants for this category are presented. (C) 2010 Elsevier Inc All rights reserved.

【 授权许可】

Free