Kac-Moody algebras in Deligne's Category

Published 19 Jun 2024 in math.RT, math.CT, and math.QA | (2406.13841v1)

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 $\mathcal{O}$ integrable representations for such an algebra. This paper generalizes results of A. Pakharev \cite{AP}.

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Authors (1)

Ivan Motorin

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