53 citations · 507 across the 55 of their papers we have counts for
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Totally aspherical parameters for Cherednik algebras
Ivan Losev
We introduce the notion of a totally aspherical parameter for a Rational Cherednik algebra. We get an explicit construction of the projective object defining the KZ functor for suc…
Finite dimensional quotients of Hecke algebras
Ivan Losev
Let W be a complex reflection group. We prove that there is the maximal finite dimensional quotient of the Hecke algebra H_q(W) of W and that the dimension of this quotient coincid…
Derived equivalences for Rational Cherednik algebras
Ivan Losev
Let W be a complex reflection group and H_c(W) the Rational Cherednik algebra for depending on a parameter c. One can consider the category O for H_c(W). We prove a conjecture…
Etingof conjecture for quantized quiver varieties II: affine quivers
Ivan Losev
We study the representation theory of quantizations of Gieseker moduli spaces. Namely, we prove the localization theorems for these algebras, describe their finite dimensional repr…
Abelian localization for cyclotomic Cherednik algebras
Ivan Losev
In this paper we prove the abelian localization theorem for modules over cyclotomic Rational Cherednik algebras.