descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Feb 2011Embargo end date: 01 Jan 2010 English Publisher:Elsevier BVJournal:Journal of Algebra, volume 327, pages 208-235 (issn: 0021-8693,

Authors: Yuly Billig; Michael Lau;

doi: 10.1016/j.jalgebra.2010.09.031 , 10.48550/arxiv.1002.2262

arXiv: http://arxiv.org/abs/1002.2262

Irreducible modules for extended affine Lie algebras

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Abstract

We construct irreducible modules for twisted toroidal Lie algebras and extended affine Lie algebras. This is done by combining the representation theory of untwisted toroidal algebras with the technique of thin coverings of modules. We illustrate our method with examples of extended affine Lie algebras of Clifford type.

37 pages

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Keywords

Algebra and Number Theory, Thin coverings, Mathematics - Rings and Algebras, 17B67; 17B69, 17B69, 17B67, Extended affine Lie algebras, Twisted modules, Rings and Algebras (math.RA), FOS: Mathematics, Twisted toroidal Lie algebras, Representation Theory (math.RT), Mathematics - Representation Theory

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