Classification of Quasi-Finite Irreducible Modules over Affine Virasoro Algebras

被引：0

作者：

Liu, Dong ^{[1
]}

Pei, Yufeng ^{[2
]}

Xia, Limeng ^{[3
]}

机构：

[1] Huzhou Univ, Dept Math, Huzhou 313000, Zhejiang, Peoples R China

[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[3] Jiangsu Univ, Inst Appl Syst Anal, Zhenjiang 212013, Jiangsu, Peoples R China

来源：

JOURNAL OF LIE THEORY | 2021年 / 31卷 / 02期

关键词：

Virasoro algebra; affine Lie algebra; affine Virasoro algebra; quasi-finite module; INTEGRABLE REPRESENTATIONS; VERTEX REPRESENTATIONS; LIE-ALGEBRAS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a complete classification of quasi-finite irreducible modules over affine Virasoro algebras. It is shown that they are all highest weight modules, lowest weight modules, or loop modules.

引用

页码：575 / 582

页数：8

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