{ "id": "1002.2262", "version": "v1", "published": "2010-02-11T03:07:21.000Z", "updated": "2010-02-11T03:07:21.000Z", "title": "Irreducible Modules for Extended Affine Lie Algebras", "authors": [ "Yuly Billig", "Michael Lau" ], "comment": "37 pages", "categories": [ "math.RT", "math.RA" ], "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.", "revisions": [ { "version": "v1", "updated": "2010-02-11T03:07:21.000Z" } ], "analyses": { "subjects": [ "17B67", "17B69" ], "keywords": [ "extended affine lie algebras", "twisted toroidal lie algebras", "thin coverings", "clifford type", "construct irreducible modules" ], "note": { "typesetting": "TeX", "pages": 37, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1002.2262B" } } }