Irreducible Integrable Representations of Toroidal Lie Algebras

Tanusree Khandai

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arXiv · 1607.04389

Irreducible Integrable Representations of Toroidal Lie Algebras

Tanusree Khandai

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Abstract

The irreducible integrable representations with finite-dimensional weight spaces of toroidal Lie algebras on which the center acts non-trivially were classified by S.Eswara Rao. In this paper we give a compact proof of the results that lead to the classification theorem. Further we establish a necessary and sufficient condition under which two such irreducible modules are isomorphic.

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Tanusree Khandai. 2016-07-15. Irreducible Integrable Representations of Toroidal Lie Algebras. https://arxiv.org/abs/1607.04389

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