On Representations of Toroidal Lie Algebras

2005/03/28 by S. Eswara Rao, Rao, S. Eswara · 3 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math.RT #msc:17B10 #msc:17B65 #msc:17B68

paper · pdf · doi:10.48550/arxiv.math/0503629

Proceedings of Functional Analysis VIII held at Dubrovnik, Croatia, in June 2003

arxiv created 2005/03/28 · arxiv updated 2009/12/01

Abstract

This is an expository article on representation theory of toroidal Lie algebras. We summerize all the results on representation theory of toroidal Lie algebras obtained in the last fifteen years. Apart from that a natural genaralization of Virasoro Lie algebra is introduced and the related results are stated. A genaralization of the semi direct product of affine Lie algebra and Virasoro Lie algebra is introduced which we call the full toroidal Lie algebra. The connection to the theory of Extended Affine Lie Algebras is explained.

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• Integral bases for twisted multiloop algebras with diagram automorphism actions
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