A Weyl group for the Virasoro and \(N=1\) super-Virasoro algebras
type: Item
instance of: scholarly article
title: A Weyl group for the Virasoro and \(N=1\) super-Virasoro algebras
zbMATH Open document ID: 0693.17008
DOI: 10.1007/BF01219661
author: V. K. Dobrev
published in: Communications in Mathematical Physics
publication date: 1989-01-01T00:00:00Z
review text: On the basis of his own recent results [Commun. Math. Phys. 124, No. 2, 319--336 (1989; Zbl 0691.17015)] concerning the Kac-Moody algebra \(A_1^{(1)}\) the author introduces a Weyl group for the highest weight modules of the Virasoro algebra and the Neveu-Schwarz and Ramond superalgebras. Defining the notion of ``active'' elements of the Weyl group with respect to a (generalized) Verma module he is able to derive character formulas for irreducible highest weight representations in the classical form.
reviewed by: Helmut Boseck
Mathematics Subject Classification ID: 17B68
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 17A70
Mathematics Subject Classification ID: 17B81
zbMATH DE Number: 4134270
zbMATH Keywords: Neveu-Schwarz superalgebra
zbMATH Keywords: Ramond superalgebra
zbMATH Keywords: Weyl group
zbMATH Keywords: highest weight modules
zbMATH Keywords: Virasoro algebra
zbMATH Keywords: character formulas
zbMATH Keywords: irreducible highest weight representations
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4134270