NEW IRREDUCIBLE TENSOR PRODUCT MODULES FOR THE VIRASORO ALGEBRA

被引：0

作者：

Guo, Xiangqian ^{[1
]}

Liu, Xuewen ^{[1
,2
]}

Wang, Jing ^{[1
]}

机构：

[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

ASIAN JOURNAL OF MATHEMATICS | 2020年 / 24卷 / 02期

关键词：

Virasoro algebra; tensor products; non-weight modules; irreducible modules; WEIGHT MODULES; REPRESENTATIONS; FAMILY; CLASSIFICATION; FINITE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain a class of Virasoro modules by taking tensor products of the irreducible Virasoro modules Omega(lambda,alpha, h) defined in [CG1], with irreducible highest weight modules V (theta, h) or with irreducible Virasoro modules Ind(theta)(N) defined in [MZ2]. We obtain the necessary and sufficient conditions for such tensor product modules to be irreducible, and determine the necessary and sufficient conditions for two of them to be isomorphic. These modules are not isomorphic to any other known irreducible Virasoro modules.

引用

页码：191 / 206

页数：16

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