53 citations · 507 across the 55 of their papers we have counts for
7 papers · 2 filters
Rational Cherednik algebras and categorification
Ivan Losev
In this survey article we review Kac-Moody and Heisenberg algebra actions on the categories of the rational Cherednik algebras associated to groups . Usi…
Supports of simple modules in cyclotomic Cherednik categories O
Ivan Losev
The goal of this paper is to compute the supports of simple modules in the categories for the rational Cherednik algebras associated to groups . For this…
Cacti and cells
Ivan Losev
The goal of this paper is to construct an action of the cactus group of a Weyl group W on W that is nicely compatible with Kazhdan-Lusztig cells. The action is realized by the wall…
Quantizations of regular functions on nilpotent orbits
Ivan Losev
We study the quantizations of the algebras of regular functions on nilpotent orbits. We show that such a quantization always exists and is unique if the orbit is birationally rigid…
On categories O for quantized symplectic resolutions
Ivan Losev
In this paper we study categories O over quantizations of symplectic resolutions admitting Hamiltonian tori actions with finitely many fixed points. In this generality, these categ…
Procesi bundles and Symplectic reflection algebras
Ivan Losev
In this survey we describe an interplay between Procesi bundles on symplectic resolutions of quotient singularities and Symplectic reflection algebras. Procesi bundles were constru…