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arXiv · 2309.14676

Skew Symmetric Extended Affine Lie algebras

S. Eswara Rao·Priyanshu Chakraborty
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Abstract

For any skew symmetric matrix over complex numbers, we introduce an EALA and it is called Skew Symmetric Extended Affine Lie Algebra (SSEALA). This way we get a large class of EALAs and most often they are non-isomorphic. In this paper we study irreducible integrable modules for SSEALA with finite dimensional weight spaces. We classify all such modules in the level zero case with non-degenerate skew symmetric matrix.

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BibTeXRIS

S. Eswara Rao, Priyanshu Chakraborty. 2026-02-13. Skew Symmetric Extended Affine Lie algebras. https://arxiv.org/abs/2309.14676

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