On isomorphisms of certain functors for Cherednik algebras

Details On isomorphisms of certain functors for Cherednik algebras On isomorphisms of certain functors for Cherednik algebras

2010-10-31

arxiv.org/abs/1011.0211v1

Mathematics

Representation Theory

15 pages, comments welcome

Scientific paper

Bezrukavnikov and Etingof introduced some functors between the categories O
for rational Cherednik algebras. Namely, they defined two induction functors
Ind_b, ind_\lambda and two restriction functors Res_b,res_\lambda. They
conjectured that one has functor isomorphisms $Ind_b\cong ind_\lambda,
Res_b\cong res_\lambda$. The goal of this paper is to prove this conjecture.

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