Weight Modules Over a Class of Graded Lie Algebras

被引：1

作者：

Liu, Xuewen ^{[1
]}

Guo, Xiangqian ^{[1
]}

机构：

[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan Province, Peoples R China

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2014年 / 17卷 / 04期

关键词：

Graded Lie algebra; Graded module; Weight module; Indecomposable module; HARISH-CHANDRA MODULES; VIRASORO MODULES; REPRESENTATIONS; CLASSIFICATION;

D O I：

10.1007/s10468-013-9444-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study weight modules over a class of graded Lie algebras, which were introduced by Olivier Mathieu when he classified simple graded Lie algebras of finite growth. We show that any weight module over such algebras with finite dimensional weight spaces can be decomposed into three parts. As a consequence, we give rough descriptions of indecomposable and simple weight modules. Some examples are also presented.

引用

页码：1235 / 1248

页数：14

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