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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.RT2025
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.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…