4 papers
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…
Canonical filtrations on Harish-Chandra modules
Ivan Losev
The goal of this paper is to show that a wide class of Harish-Chandra -modules including all irreducible ones come with a certain canonical filtration.
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…
Harish-Chandra bimodules over quantized symplectic singularities
Ivan Losev
In this paper we classify the irreducible Harish-Chandra bimodules with full support over filtered quantizations of conical symplectic singularities under the condition that none o…