Cohomology and Support Varieties for Restricted Lie Superalgebras

被引：4

作者：

Bagci, Irfan ^{[1
]}

机构：

[1] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2014年 / 17卷 / 01期

关键词：

Representation theory; Nonassociative algebras; Lie superalgebras; FINITE-GROUP SCHEMES; CO-HOMOLOGY; ALGEBRAS;

D O I：

10.1007/s10468-012-9395-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let be a restricted Lie superalgebra over an algebraically closed field k of characteristic p > 2. Let denote the restricted enveloping algebra of . In this paper we prove that the cohomology ring is finitely generated. This allows one to define support varieties for finite dimensional -supermodules. We also show that support varieties for finite dimensional - supermodules satisfy the desirable properties of a support variety theory.

引用

页码：213 / 225

页数：13

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