Kac-Moody algebras in Deligne's Category
Representation Theory
2024-06-21 v1 Category Theory
Quantum Algebra
Abstract
We generalize the notion of a Kac-Moody Lie algebra to the setting of Deligne Categories. Then we derive the Kac-Weyl formula for the category integrable representations for such an algebra. This paper generalizes results of A. Pakharev \cite{AP}.
Cite
@article{arxiv.2406.13841,
title = {Kac-Moody algebras in Deligne's Category},
author = {Ivan Motorin},
journal= {arXiv preprint arXiv:2406.13841},
year = {2024}
}