Geodesic
Classification of Quasi-Finite Irreducible Modules over Affine Virasoro Algebras
Dong Liu1 ; Yufeng Pei2 ; Limeng Xia3
1Dept. of Mathematics, Huzhou University, Zhejiang Huzhou, P. R. China
2Dept. of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China
3Institute of Applied System Analysis, Jiangsu University, Jiangsu Zhenjiang, P. R. China
Journal of Lie Theory, Tome 31 (2021) no. 2, pp. 575-582

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 17B68, 17B67
Mots-clés : Virasoro algebra, affine Lie algebra, affine Virasoro algebra, quasi-finite module

Dong Liu  1   ; Yufeng Pei  2   ; Limeng Xia  3

1 Dept. of Mathematics, Huzhou University, Zhejiang Huzhou, P. R. China
2 Dept. of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China
3 Institute of Applied System Analysis, Jiangsu University, Jiangsu Zhenjiang, P. R. China 
Dong Liu; Yufeng Pei; Limeng Xia. Classification of Quasi-Finite Irreducible Modules over Affine Virasoro Algebras. Journal of Lie Theory, Tome 31 (2021) no. 2, pp. 575-582. http://geodesic.mathdoc.fr/item/JOLT_2021_31_2_a14/
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     author = {Dong Liu and Yufeng Pei and Limeng Xia},
     title = {Classification of {Quasi-Finite} {Irreducible} {Modules} over {Affine} {Virasoro} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {575--582},
     year = {2021},
     volume = {31},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2021_31_2_a14/}
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