Kac-Moody algebras in Deligne's Category
arXiv:2406.13841 · doi:10.1016/j.jalgebra.2025.04.030
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}.