Affine Lie superalgebras
type: Item
instance of: scholarly article
title: Affine Lie superalgebras
zbMATH Open document ID: 1486.17009
author: Abbas Darehgazani
author: Fateme Shirnejad
author: Malihe Yousofzadeh
published in: Journal of Algebra
publication date: 2021-01-06T00:00:00Z
review text: \textit{J. W. van de Leur} [Contragredient Lie superalgebras of finite growth. Utrecht University (PhD Thesis) (1986)] introduced and classified affine Lie superalgebras. An affine Lie superalgebra is defined as the quotient of certain Lie superalgebra \(G\) defined by generators and relations, corresponding to a symmetrizable generalized Cartan matrix, over the so-called radical of \(G\). Since then, a huge field of interesting applications of affine Lie (super)algebras has emerged and became very important to understand how far a Lie (super)algebra is to be an affine Lie (super)algebra. In this regard, the authors determine affine Lie superalgebras axiomatically.
Mathematics Subject Classification ID: 17B05
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 17B22
zbMATH DE Number: 7290704
zbMATH Keywords: affine Lie superalgebras
zbMATH Keywords: finite root supersystems
reviewed by: Angelo Calil Bianchi
Wikidata QID: Q115350417
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2020.10.039
OpenAlex ID: W3112593012
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DOI: 10.1016/J.JALGEBRA.2020.10.039
description: scientific article; zbMATH DE number 7290704