Representations of Loop Kac-Moody Lie Algebras

Author： Rao S. Eswara   Futorny Vyacheslav  

Publisher： Taylor & Francis Ltd

ISSN： 0092-7872

Source： Communications in Algebra, Vol.41, Iss.10, 2013-10, pp. : 3775-3792

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Abstract

We study representations of the Loop Kac-Moody Lie algebra ⊗A, where is any Kac-Moody algebra and A is a ring of Laurent polynomials in n commuting variables. In particular, we study representations with finite dimensional weight spaces and their graded versions. When we specialize to be a finite dimensional or affine Lie algebra we obtain modules for toroidal Lie algebras.

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