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arXiv · 2506.02379

Finite-dimensional irreducible representations of twisted loop algebras of the second kind

Hideya Watanabe
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Abstract

Twisted loop algebras of the second kind are infinite-dimensional Lie algebras that are constructed from a semisimple Lie algebra and an automorphism on it of order at most $2$. They are examples of equivariant map algebras. The finite-dimensional irreducible representations of an arbitrary equivariant map algebra have been classified by Neher--Savage--Senesi. In this paper, we classify the finite-dimensional irreducible representations of twisted loop algebras of the second kind in a more elementary way.

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Hideya Watanabe. 2025-06-03. Finite-dimensional irreducible representations of twisted loop algebras of the second kind. https://arxiv.org/abs/2506.02379

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