Cuspidal representations of sl(n+1)

被引：24

作者：

Grantcharov, Dimitar ^{[2
]}

Serganova, Vera ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[2] Univ Texas Arlington, Dept Math, Arlington, TX 76019 USA

来源：

ADVANCES IN MATHEMATICS | 2010年 / 224卷 / 04期

关键词：

Lie algebra; Indecomposable representations; Quiver; Weight modules; LIE-ALGEBRAS; MODULES; CLASSIFICATION; FINITE; PRODUCTS;

D O I：

10.1016/j.aim.2009.12.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the subcategory of cuspidal modules of the category of weight modules over the Lie algebra sl(n+1). Our main result is a complete classification and an explicit description of indecomposable cuspidal modules. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：1517 / 1547

页数：31

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