Irreducible modules for extended affine Lie algebras

被引：9

作者：

Billig, Yuly ^{[2
]}

Lau, Michael ^{[1
]}

机构：

[1] Univ Laval, Dept Math & Stat, Quebec City, PQ G1V 0A6, Canada

[2] Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada

来源：

JOURNAL OF ALGEBRA | 2011年 / 327卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Twisted toroidal Lie algebras; Extended affine Lie algebras; Thin coverings; Twisted modules; REPRESENTATIONS; COVERINGS;

D O I：

10.1016/j.jalgebra.2010.09.031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct irreducible modules for twisted toroidal Lie algebras and extended affine Lie algebras. This is done by combining the representation theory of untwisted toroidal algebras with the technique of thin coverings of modules. We illustrate our method with examples of extended affine Lie algebras of Clifford type. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：208 / 235

页数：28

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