Representations of Loop Kac-Moody Lie Algebras |
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| Authors: | S. Eswara Rao |
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| Affiliation: | School of Mathematics , Tata Institute of Fundamental Research , Colaba , Mumbai , India |
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| Abstract: | We study representations of the Loop Kac-Moody Lie algebra 𝔤 ?A, where 𝔤 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 𝔤 to be a finite dimensional or affine Lie algebra we obtain modules for toroidal Lie algebras. |
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| Keywords: | Automorphisms Loop Kac-Moody Lie algebras Representations theory |
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