Skew Symmetric Extended Affine Lie algebras
Representation Theory
2026-02-16 v2
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.
Keywords
Cite
@article{arxiv.2309.14676,
title = {Skew Symmetric Extended Affine Lie algebras},
author = {S. Eswara Rao and Priyanshu Chakraborty},
journal= {arXiv preprint arXiv:2309.14676},
year = {2026}
}
Comments
Appeared in JPAA, 2026. This is the final version of the published paper. The introduction is rewritten and some of the results written in a organized manner