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math.RT2025
On Harish-Chandra modules over quantizations of nilpotent orbits
Ivan Losev, Shilin Yu
Let be a semisimple algebraic group over the complex numbers and be a connected reductive group mapping to so that the Lie algebra of gets identified with a symmetr…
math.RT2024
Categorical Heisenberg action I: rational Cherednik algebras
Roman Bezrukavnikov, Ivan Losev
In this paper we introduce and study a categorical action of the positive part of the Heisenberg Lie algebra on categories of modules over rational Cherednik algebras associated to…