Representations of Loop Kac-Moody Lie Algebras

2010/06/29 by S. Eswara Rao, Vyacheslav Futorny, Rao, S. Eswara +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1006.5663

openalex publication_date 2010/06/29 · arxiv created 2012/05/17 · arxiv updated 2012/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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