Representations of the Witt superalgebra W (2)

被引：7

作者：

Duan, Feifei ^{[1
]}

Shu, Bin ^{[2
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China

[2] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2013年 / 396卷

关键词：

Witt superalgebra; Non-restricted irreducible representations; Restricted supermodules; Dimensions; ALGEBRAS;

D O I：

10.1016/j.jalgebra.2013.07.034

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study representations of the Lie superalgebra W(2) of Witt type over an algebraically closed field of characteristic p > 2. All irreducible modules and their dimensions are determined, up to isomorphisms. Thus, all irreducible modules and their dimensions of osp(2 vertical bar 2) are determined in prime characteristic, up to isomorphisms. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：272 / 286

页数：15

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