Classification of irreducible integrable representations for the full toroidal Lie algebras
type: Item
instance of: scholarly article
title: Classification of irreducible integrable representations for the full toroidal Lie algebras
zbMATH Open document ID: 1070.17009
author: Cuipo Jiang
author: S. Eswara Rao
published in: Journal of Pure and Applied Algebra
publication date: 2005-06-23T00:00:00Z
review text: A full toroidal Lie algebra is the semi-direct product of the algebra of all derivations of the algebra of Laurent polynomials in \(k\) variables and the corresponding toroidal Lie algebra with common extension. In the paper under review the authors present a complete classification of all irreducible integrable representations with finite-dimensional weight spaces for the full toroidal Lie algebras. The arguments are based on the recent results of the first author obtained in [\textit{S. Eswara Rao}, J. Algebra 277, No. 1, 318--348 (2004; Zbl 1106.17001) and J. Math. Phys. 45, No. 8, 3322--3333 (2004; Zbl 1071.17020)].
reviewed by: Volodymyr Mazorchuk
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 17B68
zbMATH DE Number: 2182118
zbMATH Keywords: toroidal Lie algebra
zbMATH Keywords: irreducible representation
zbMATH Keywords: integrable representation
zbMATH Keywords: weight space
MaRDI profile type: Publication
full work available at URL: j.jpaa.2004.12.051
OpenAlex ID: W1976383175
Wikidata QID: Q115345630
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DOI: 10.1016/J.JPAA.2004.12.051
description: scientific article; zbMATH DE number 2182118