Restricted representations of the Witt superalgebras

被引：46
|
作者：
Shu, Bin [1 ]
Zhang, Chaowen [2 ]
机构：
[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China
[2] China Univ Min & Technol, Dept Math, Xuzhou, Peoples R China
来源：
JOURNAL OF ALGEBRA | 2010年 / 324卷 / 04期
关键词：
Witt superalgebras; Kac modules; Irreducible restricted supermodules; Character formulas; Cartan invariants; LIE-ALGEBRAS;
D O I：
10.1016/j.jalgebra.2010.04.032
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
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页码：652 / 672
页数：21
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