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Representation Theory
Representation Theory
ISSN 1088-4165

On isomorphisms of certain functors for Cherednik algebras


Author: Ivan Losev
Journal: Represent. Theory 17 (2013), 247-262
MSC (2010): Primary 16G99
Posted: May 14, 2013
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Abstract: Bezrukavnikov and Etingof introduced some functors between the categories $ \mathcal {O}$ for rational Cherednik algebras. Namely, they defined two induction functors $ \mathrm {Ind}_b, \mathrm {ind}_\lambda $ and two restriction functors $ \mathrm {Res}_b,\mathrm {res}_\lambda $. They conjectured that one has functor isomorphisms $ \mathrm {Ind}_b\cong \mathrm {ind}_\lambda , \mathrm {Res}_b\cong \mathrm {res}_\lambda $. The goal of this paper is to prove this conjecture.


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Additional Information

Ivan Losev
Affiliation: Department of Mathematics, Northeastern University, 360 Huntington Avenue, Boston, Massachusetts 02115
Email: i.loseu@neu.edu

DOI: http://dx.doi.org/10.1090/S1088-4165-2013-00437-5
PII: S 1088-4165(2013)00437-5
Received by editor(s): January 25, 2012
Received by editor(s) in revised form: November 25, 2012
Posted: May 14, 2013
Additional Notes: The author was supported by the NSF grant DMS-0900907
Article copyright: © Copyright 2013 American Mathematical Society