On restricted representations of the extended special type Lie superalgebra \({\bar{S}(m, n, 1)}\)
type: Item
instance of: scholarly article
title: On restricted representations of the extended special type Lie superalgebra \({\bar{S}(m, n, 1)}\)
zbMATH Open document ID: 1327.17018
author: Yanyan Li
published in: Monatshefte für Mathematik
publication date: 2013-05-13T00:00:00Z
review text: Let \(\bar{S}(m,n,{\mathbf 1})\) be the extended special type Lie superalgebra over an algebraically closed field of characteristic \(p>2\). The author classifies the iso-classes of simple restricted \(\bar{S}(m,n,{\mathbf 1})\)-modules and provides a necessary and sufficient condition for restricted baby Kac modules to be simple.
reviewed by: Salvatore Siciliano
Mathematics Subject Classification ID: 17B50
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 17B20
zbMATH DE Number: 6162235
zbMATH Keywords: restricted Lie superalgebra
zbMATH Keywords: Lie superalgebra of extended special type
zbMATH Keywords: restricted representation
zbMATH Keywords: typical weight
zbMATH Keywords: atypical weight
MaRDI profile type: Publication
full work available at URL: s00605-012-0414-9
OpenAlex ID: W2008109441
cites work: Q4742969
cites work: Q3318924
cites work: Q5485848
cites work: Q5732712
cites work: Lie superalgebras
cites work: Identities in the enveloping algebras for modular Lie superalgebras
cites work: IRREDUCIBLE REPRESENTATIONS OF INFINITE-DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE
cites work: IRREDUCIBLE REPRESENTATIONS OF INFINITE-DIMENSIONAL LIE ALGEBRAS OF TYPESSANDH
cites work: Q5465232
cites work: Q3968195
cites work: Character formulas for restricted simple modules of the special superalgebras
cites work: Restricted representations of the Witt superalgebras
cites work: Representations of the restricted Cartan type Lie superalgebra \(W(m,n,1)\)
cites work: Q4039778
cites work: Representations of Lie superalgebras in prime characteristic I
cites work: On the simple modules for the restricted Lie superalgebra \(\text{sl}(n|1)\)
DOI: 10.1007/S00605-012-0414-9
description: scientific article; zbMATH DE number 6162235