Standard modules and standard modules of level one
type: Item
instance of: scholarly article
title: Standard modules and standard modules of level one
zbMATH Open document ID: 0838.17023
DOI: 10.1016/0022-4049(94)00087-Y
published in: Journal of Pure and Applied Algebra
publication date: 1996-06-04T00:00:00Z
review text: The author gives a general abstract proof of the statement that every higher-level integral irreducible module of an affine Lie algebra occurs in a tensor product of its level irreducible modules. The proof is based on \textit{S. Kumar}'s results [Invent. Math. 93, 117-130 (1988; Zbl 0668.17008)]. The case-by-case proof was given by \textit{C. F. Xie} [Commun. Algebra 22, 5983-6020 (1994; Zbl 0823.17035)].
reviewed by: Xiaoping Xu
Mathematics Subject Classification ID: 17B67
zbMATH DE Number: 810236
zbMATH Keywords: standard modules
zbMATH Keywords: weights
zbMATH Keywords: higher-level integral irreducible module
zbMATH Keywords: affine Lie algebra
zbMATH Keywords: tensor product
author: Boujemaa Agrebaoui
MaRDI profile type: Publication
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full work available at URL: 0022-4049(94)00087-y
OpenAlex ID: W2080532814
description: scientific article; zbMATH DE number 810236