On low-dimensional complex \(\omega \)-Lie superalgebras
type: Item
instance of: scholarly article
title: On low-dimensional complex \(\omega \)-Lie superalgebras
zbMATH Open document ID: 1473.17051
author: Jia Zhou
author: Liangyun Chen
published in: Advances in Applied Clifford Algebras
publication date: 2021-08-20T00:00:00Z
review text: The paper under review is concerned with low-dimensional \(\omega\)-Lie superalgebras over the complex field. Specifically, the authors calculate the derivation superalgebras and automorphism groups of three and four dimensional Lie superalgebras, obtaining the corresponding Jordan standard forms of elements. They also develop interesting results in representation theory of \(\omega\)-Lie superalgebras and particularly, they prove that irreducible representations of a family of four dimensional \(\omega\)-Lie superalgebras are one dimensional, generalizing a result due to [\textit{Y. Chen} et al., Commun. Algebra 46, No. 2, 708--726 (2018; Zbl 1427.17032)] originally in the non-super case.
reviewed by: Yin Chen
Mathematics Subject Classification ID: 17B60
Mathematics Subject Classification ID: 17A30
zbMATH DE Number: 7383987
zbMATH Keywords: \(\omega \)-Lie superalgebra
zbMATH Keywords: derivations
zbMATH Keywords: automorphisms
zbMATH Keywords: representations
MaRDI profile type: Publication
full work available at URL: s00006-021-01141-8
OpenAlex ID: W3176078603
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DOI: 10.1007/S00006-021-01141-8
description: scientific article; zbMATH DE number 7383987