Support varieties of semisimple-character representations for Cartan type Lie algebras

被引：1

作者：

Yao, Yufeng ^{[1
]}

Shu, Bin ^{[2
]}

机构：

[1] Shanghai Maritime Univ, Dept Math, Shanghai 201306, Peoples R China

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

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2011年 / 6卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Lie algebra of Cartan type; generalized restricted Lie algebra; support variety; semisimple character; exceptional module; IRREDUCIBLE REPRESENTATIONS; REDUCTIVE GROUPS; GRADED MODULES; COHOMOLOGY;

D O I：

10.1007/s11464-011-0133-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the support varieties for Lie algebras L of Cartan type. We give some description for the support varieties of any finite-dimensional L-module with character., whenever the height of the character. is not too large. And a more concrete computation can be made for a class of modules with semisimple characters.

引用

页码：775 / 788

页数：14

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