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arXiv · 2105.06994

Finite-dimensional representations of map superalgebras

Lucas Calixto·Tiago Macedo
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Abstract

We obtain a complete classification of all finite-dimensional irreducible modules over classical map superalgebras, provide formulas for their (super)characters and a description of their extension groups. Furthermore, we describe the block decomposition of the category of finite-dimensional modules for such map superalgebras. As an application, we specialize our results to the case of loop superalgebras in order to obtain a classification of finite-dimensional irreducible modules and block decomposition of the category of finite-dimensional modules over affine Lie superalgebras.

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BibTeXRIS

Lucas Calixto, Tiago Macedo. 2021-05-14. Finite-dimensional representations of map superalgebras. https://arxiv.org/abs/2105.06994

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