Journal of Lie Theory 31 (2021), No. 2, 575--582
Copyright Heldermann Verlag 2021
Classification of Quasi-Finite Irreducible Modules over Affine Virasoro Algebras
Dong Liu
Dept. of Mathematics, Huzhou University, Zhejiang Huzhou, P. R. China
liudong@zjhu.edu.cn
Yufeng Pei
Dept. of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China
pei@shnu.edu.cn
Limeng Xia
Institute of Applied System Analysis, Jiangsu University, Jiangsu Zhenjiang, P. R. China
xialimeng@ujs.edu.cn
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.
Keywords: Virasoro algebra, affine Lie algebra, affine Virasoro algebra, quasi-finite module.
MSC: 17B68, 17B67.
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