On isomorphisms of certain functors for Cherednik algebras
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- 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
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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
- 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