4 papers
math.QA2026
A Kohno--Drinfeld Theorem for iquantum Weyl groups
Elijah Bodish, Ivan Motorin
We prove that two finite-dimensional linear representations of the braid group are isomorphic. One representation comes from the monodromy of the boundary Casimir connection, and t…
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…