On isomorphisms of certain functors for Cherednik algebras

2010/10/31 by Ivan Losev, Losev, Ivan
Mathematics · #16G99 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:16G99

paper · pdf · doi:10.48550/arxiv.1011.0211

15 pages, comments welcome

arxiv created 2010/10/31 · arxiv updated 2010/11/02

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 Ind_b≅ ind_λ, Res_b≅ res_λ. The goal of this paper is to prove this conjecture.

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