Skip to Main Content

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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On isomorphisms of certain functors for Cherednik algebras
HTML articles powered by AMS MathViewer

by Ivan Losev PDF
Represent. Theory 17 (2013), 247-262 Request permission

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.
References
Similar Articles
  • Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2010): 16G99
  • Retrieve articles in all journals with MSC (2010): 16G99
Additional Information
  • Ivan Losev
  • Affiliation: Department of Mathematics, Northeastern University, 360 Huntington Avenue, Boston, Massachusetts 02115
  • Email: i.loseu@neu.edu
  • 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: https://doi.org/10.1090/S1088-4165-2013-00437-5
  • MathSciNet review: 3054265