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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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On isomorphisms of certain functors for Cherednik algebras
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by Ivan Losev PDF
Represent. Theory 17 (2013), 247-262 Request permission


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:
  • Received by editor(s): January 25, 2012
  • Received by editor(s) in revised form: November 25, 2012
  • Published electronically: May 14, 2013
  • Additional Notes: The author was supported by the NSF grant DMS-0900907
  • © Copyright 2013 American Mathematical Society
  • Journal: Represent. Theory 17 (2013), 247-262
  • MSC (2010): Primary 16G99
  • DOI:
  • MathSciNet review: 3054265