Classification of Quasi-Finite Irreducible Modules over Affine Virasoro Algebras
Journal of Lie theory, Tome 31 (2021) no. 2, pp. 575-582
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
Mots-clés : Virasoro algebra, affine Lie algebra, affine Virasoro algebra, quasi-finite module
@article{JLT_2021_31_2_JLT_2021_31_2_a14,
author = {D. Liu and Y. Pei and L. 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/JLT_2021_31_2_JLT_2021_31_2_a14/}
}
TY - JOUR AU - D. Liu AU - Y. Pei AU - L. Xia TI - Classification of Quasi-Finite Irreducible Modules over Affine Virasoro Algebras JO - Journal of Lie theory PY - 2021 SP - 575 EP - 582 VL - 31 IS - 2 UR - http://geodesic.mathdoc.fr/item/JLT_2021_31_2_JLT_2021_31_2_a14/ ID - JLT_2021_31_2_JLT_2021_31_2_a14 ER -
D. Liu; Y. Pei; L. 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/JLT_2021_31_2_JLT_2021_31_2_a14/