Cartan invariants for the Witt superalgebra W(2) in positive characteristic

被引：2

作者：

Duan, Feifei ^{[1
,2
]}

Li, Fang ^{[1
]}

机构：

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

[2] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2016年 / 15卷 / 03期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

Witt superalgebra; reduced enveloping superalgebra; Cartan invariants; projective cover; REPRESENTATIONS; ALGEBRAS;

D O I：

10.1142/S0219498816500390

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study the projective modules of the chi-reduced enveloping superalgebra U-chi(W(2)), where W(n) is the Lie superalgebra of superderivations on the Grassmann superalgebra Lambda(n), over an algebraically closed field k of characteristic p > 2. Mainly, the Cartan invariants and the dimensions of indecomposable projective modules of U-chi(W(2)) are determined for any p-character chi up to isomorphism.

引用

页数：24

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