Finite-dimensional Lie superalgebras of Cartan type over fields of prime characteristic
type: Item
instance of: scholarly article
title: Finite-dimensional Lie superalgebras of Cartan type over fields of prime characteristic
zbMATH Open document ID: 0886.17022
DOI: 10.1007/BF03186962
author: Yongzheng Zhang
published in: Chinese Science Bulletin
publication date: 1998-05-18T00:00:00Z
review text: The author constructs Lie superalgebras of generalized Cartan type \(\overline{X} (m,n,t,\varphi)^{(\infty)}\) (for \(X= W,S,H\), or \(K\)) over fields of characteristic \(p>2\) by generalizing the construction of Lie algebras of generalized Cartan type. The simplicity of these algebras is proved along with the criterion for their restrictedness. Finally, the author states a conjecture about the classification of all simple Lie superalgebras for \(p>7\).
Mathematics Subject Classification ID: 17B50
Mathematics Subject Classification ID: 17B70
zbMATH DE Number: 1063720
zbMATH Keywords: prime characteristic
zbMATH Keywords: Lie superalgebras of generalized Cartan type
zbMATH Keywords: simple Lie superalgebras
MaRDI profile type: Publication
cites work: Lie superalgebras
cites work: Identities in the enveloping algebras for modular Lie superalgebras
cites work: A structural characterization of the simple Lie algebras of generalized Cartan type over fields of prime characteristic
description: scientific article; zbMATH DE number 1063720