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math.RT2026
Knizhnik-Zamolodchikov equations in Deligne categories
Pavel Etingof, Ivan Motorin, Alexander Varchenko +1
We consider the Knizhnik-Zamolodchikov equations in Deligne Categories in the context of and dualities.…
math.RT2026
Radon transform for
Ivan Motorin, Kai Yamashita
In this paper, we study the Radon transform associated with the unipotent radical subgroups of . We analyze properties of the Radon transform with a specific em…
math.RT2024
Kac-Moody algebras in Deligne's Category
Ivan Motorin
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 representati…