Spectral Characters of a Class of Integrable Representations of Toroidal Lie Algebras

被引：0
|
作者：
Tanusree Khandai
机构：
[1] Indian Institute of Science Education and Research,School of Mathematical Sciences
[2] NISER,undefined
[3] HBNI,undefined
来源：
Algebras and Representation Theory | 2019年 / 22卷
关键词：
Integrable representations of finite-length; Toroidal Lie algebra; Center acting nontrivially; Block decomposition; Spectral character; 17B67; 17B10;
D O I：
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学科分类号：
摘要：
In this paper we study the subcategory of finite-length objects of the category of positive level integrable representations of a toroidal Lie algebra. The main goal is to characterize the blocks of the category. In the cases when the underlying finite type Lie algebra associated with the toroidal Lie algebra is simply-laced, we are able to give a parametrization for the blocks.
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页码：1149 / 1181
页数：32
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