Modules for double affine Lie algebras

被引：0
|
作者：
Naihuan Jing
Chunhua Wang
机构：
[1] South China University of Technology,School of Mathematics
[2] North Carolina State University,Department of Mathematics
来源：
Frontiers of Mathematics in China | 2016年 / 11卷
关键词：
Double affine Lie algebra; Verma module; irreducibility; Weyl module; 17B67; 17B10; 17B65;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Imaginary Verma modules, parabolic imaginary Verma modules, and Verma modules at level zero for double affine Lie algebras are constructed using three different triangular decompositions. Their relations are investigated, and several results are generalized from the affine Lie algebras. In particular, imaginary highest weight modules, integrable modules, and irreducibility criterion are also studied.
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页码：89 / 108
页数：19
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