Integrable Representations for Extended Affine Lie Algebras Coordinated by Quantum Tori

被引：0

作者：

Chen, Fulin ^{[1
,2
]}

Tan, Shaobin ^{[1
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

来源：

JOURNAL OF LIE THEORY | 2013年 / 23卷 / 02期

关键词：

Extended affine Lie algebra; Integrable representation; Unitary module; Quantum tori; UNITARY REPRESENTATIONS; MODULES; CLASSIFICATION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we realize all irreducible integrable modules for the core of extended affine Lie algebras of type A coordinated by quantum tori with center elements act non-trivially. We also study the sufficient and necessary conditions for such modules to be unitary.

引用

页码：383 / 405

页数：23

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