On isomorphisms of certain functors for Cherednik algebras

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 $Ind_b\cong ind_λ, Res_b\cong res_λ$. The goal of this paper is to prove this conjecture.

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