Higher level representations of the quantum affine algebra \(U_ q(\hat sl(2))\)
type: Item
instance of: scholarly article
title: Higher level representations of the quantum affine algebra \(U_ q(\hat sl(2))\)
zbMATH Open document ID: 0864.17021
author: Naihuan Jing
published in: Journal of Algebra
publication date: 1997-06-22T00:00:00Z
review text: \(Z\)-algebras were introduced by J. Lepowsky and R. L. Wilson to study standard modules of affine Lie algebras. In this paper the author introduces a quantum analogue of \(Z\)-algebras in the homogeneous picture. He then uses these to study higher level modules for the quantized version of the algebra \(A^{(1)}_1\) in the homogeneous picture. An explicit basis for these modules is obtained.
reviewed by: Stefano Capparelli
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 17B69
zbMATH DE Number: 922314
zbMATH Keywords: vertex operators
zbMATH Keywords: quantum affine algebras
zbMATH Keywords: quantum analogue of \(Z\)-algebras
zbMATH Keywords: higher level modules
zbMATH Keywords: explicit basis
MaRDI profile type: Publication
full work available at URL: jabr.1996.0180
OpenAlex ID: W1996543520
DOI: 10.1006/JABR.1996.0180
description: scientific article; zbMATH DE number 922314