Extensions of the Neveu-Schwarz Lie superalgebra
type: Item
instance of: scholarly article
title: Extensions of the Neveu-Schwarz Lie superalgebra
zbMATH Open document ID: 0972.17016
author: Patrick Marcel
published in: Communications in Mathematical Physics
publication date: 2001-11-16T00:00:00Z
review text: The Virasoro algebra plays an important role in mathematical physics and differential geometry. In this paper the author studies the class of Lie superalgebras generalizing the Virasoro algebra by considering extensions of the Virasoro algebra by the modules of tensor densities on \(S^1\). He shows that most of these Lie algebras have interesting superanalogues, classifies such Lie algebras, and obtains a series of Lie superalgebras generalizing the Neveu-Schwarz superalgebra.
reviewed by: Min Ho Lee
Mathematics Subject Classification ID: 17B68
Mathematics Subject Classification ID: 81R10
zbMATH DE Number: 1415643
zbMATH Keywords: Lie superalgebras
zbMATH Keywords: Virasoro algebra
zbMATH Keywords: Neveu-Schwarz superalgebra
MaRDI profile type: Publication
full work available at URL: s002200050727
OpenAlex ID: W2374039873
DOI: 10.1007/S002200050727
description: scientific article; zbMATH DE number 1415643