Level two standard \(D_{I+1}^{(2)}\)-modules
type: Item
instance of: scholarly article
title: Level two standard \(D_{I+1}^{(2)}\)-modules
zbMATH Open document ID: 0820.17033
author: Manvendra Tamba
published in: Journal of Algebra
publication date: 1994-08-17T00:00:00Z
review text: Affine Kac-Moody algebras and their representations are of great interest for their surprising connections with other branches of mathematics and mathematical physics. In particular, the realization of standard modules (= integrable highest weight modules) is one of the most important problems in this area. In this paper, the author gives an explicit construction of all level two standard modules over the affine Kac-Moody algebras of type \(D_{l+1}^{(2)}\) based on the theory of \(Z\)-algebras introduced by \textit{J. Lepowsky} and \textit{R. Wilson} [Invent. Math. 77, 199-290 (1984; Zbl 0577.17009)].
reviewed by: Seok-Jin Kang
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 17B10
zbMATH DE Number: 614248
zbMATH Keywords: affine Kac-Moody algebras
zbMATH Keywords: explicit construction
zbMATH Keywords: level two standard modules
MaRDI profile type: Publication
full work available at URL: jabr.1994.1170
OpenAlex ID: W2047704054
DOI: 10.1006/JABR.1994.1170
description: scientific article; zbMATH DE number 614248