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math.RT2026
On De Concini-Kac forms of quantum groups
Ivan Losev, Alexander Tsymbaliuk, Trung Vu
Quantum groups of semisimple Lie algebras at roots of unity admit several different forms. Among them is the De Concini-Kac form, which is the easiest to define but, perhaps, harde…
math.RT2023
Quantum category O vs affine Hecke category
Ivan Losev
The goal of this paper is to relate the quantum category (known also as the category of modules over the mixed quantum group) at an odd root of unity to the affine He…