On results of certain modules over untwisted affine Liesuperalgebras

Fuente: arXiv
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Autori principali: Daneshvar, Asghar, Kiamehr, Hajar, Yazdanifar, Maryam, Yousofzadeh, Malihe
Natura: Preprint
Pubblicazione: 2024
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author Daneshvar, Asghar
Kiamehr, Hajar
Yazdanifar, Maryam
Yousofzadeh, Malihe
author_facet Daneshvar, Asghar
Kiamehr, Hajar
Yazdanifar, Maryam
Yousofzadeh, Malihe
contents Since 2020, finite weight modules have been studied over twisted affine Lie superalgebras. To complete the characterization of modules over affine Lie superalgebras, we need some information regarding modules over untwisted affine Lie superalgebras. There are several known results on representations of twisted affine Lie superalgebras that hold for untwisted cases, and their proofs are just a minor modification of the known ones. In this note, we gather these results for our further use.
format Preprint
id arxiv_https___arxiv_org_abs_2411_17412
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On results of certain modules over untwisted affine Liesuperalgebras
Daneshvar, Asghar
Kiamehr, Hajar
Yazdanifar, Maryam
Yousofzadeh, Malihe
Representation Theory
17A70, 17B10, 17B65
Since 2020, finite weight modules have been studied over twisted affine Lie superalgebras. To complete the characterization of modules over affine Lie superalgebras, we need some information regarding modules over untwisted affine Lie superalgebras. There are several known results on representations of twisted affine Lie superalgebras that hold for untwisted cases, and their proofs are just a minor modification of the known ones. In this note, we gather these results for our further use.
title On results of certain modules over untwisted affine Liesuperalgebras
topic Representation Theory
17A70, 17B10, 17B65
url https://arxiv.org/abs/2411.17412