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Irreducible modules for extended affine Lie algebras

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, Copyright policy )Funded by:NSERC | unidentified
Authors: Billig, Yuly; Lau, Michael;

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

arXiv: 1002.2262

Irreducible modules for extended affine Lie algebras

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

Related Organizations
Keywords

twisted modules, Algebra and Number Theory, Thin coverings, Mathematics - Rings and Algebras, 17B67; 17B69, 17B69, 17B67, thin coverings, Extended affine Lie algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, extended affine Lie algebras, Twisted modules, Rings and Algebras (math.RA), twisted toroidal Lie algebras, FOS: Mathematics, Twisted toroidal Lie algebras, Representation Theory (math.RT), Vertex operators; vertex operator algebras and related structures, Mathematics - Representation Theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
11
Top 10%
Top 10%
Average
Green
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