Level two standard \(\tilde A_ n\)-modules
type: Item
instance of: scholarly article
title: Level two standard \(\tilde A_ n\)-modules
zbMATH Open document ID: 0717.17018
DOI: 10.1016/0021-8693(91)90081-I
author: Kailash C. Misra
published in: Journal of Algebra
publication date: 1991-01-01T00:00:00Z
review text: In 1978, J. Lepowsky and R. L. Wilson constructed the level one standard (irreducible integrable highest weight) modules for \(A_ 1^{(1)}\), and since then the construction of standard modules for affine Lie algebras has become one of the most interesting problems in representation theory. In this paper, level two standard modules for \(A_ n^{(1)}\) are realized in the principal picture.
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 17B10
zbMATH DE Number: 4181595
zbMATH Keywords: Z-operator
zbMATH Keywords: integrable highest weight
zbMATH Keywords: affine Lie algebras
zbMATH Keywords: representation
zbMATH Keywords: level two standard modules
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4181595