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 Indb, indλ and two restriction functors Resb,resλ. They conjectured that one has functor isomorphisms Indb indλ, Resb resλ. The goal of this paper is to prove this conjecture.

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