On isomorphisms of certain functors for Cherednik algebras

Abstract

Bezrukavnikov and Etingof introduced some functors between the categories O for rational Cherednik algebras. Namely, they defined two induction functors Ind_b, ind_λand two restriction functors Res_b,res_λ. They conjectured that one has functor isomorphisms $In{d}_b\cong in{d}_{\lambda },Re{s}_b\cong re{s}_{\lambda }$. The goal of this paper is to prove this conjecture.

15 pages, comments welcome