MIT Libraries logoDSpace@MIT

MIT
View Item 
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

On the depth r Bernstein projector

Author(s)
Bezrukavnikov, Roman; Kazhdan, David; Varshavsky, Yakov
Thumbnail
Download29_2016_278_ReferencePDF.pdf (3.717Mb)
OPEN_ACCESS_POLICY

Open Access Policy

Creative Commons Attribution-Noncommercial-Share Alike

Terms of use
Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/
Metadata
Show full item record
Abstract
In this paper we prove an explicit formula for the Bernstein projector to representations of depth ≤ r. As a consequence, we show that the depth zero Bernstein projector is supported on topologically unipotent elements and it is equal to the restriction of the character of the Steinberg representation. As another application, we deduce that the depth r Bernstein projector is stable. Moreover, for integral depths our proof is purely local.
Date issued
2016-10
URI
http://hdl.handle.net/1721.1/120924
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Selecta Mathematica
Publisher
Springer International Publishing
Citation
Bezrukavnikov, Roman, David Kazhdan, and Yakov Varshavsky. “On the Depth r Bernstein Projector.” Selecta Mathematica 22, no. 4 (October 2016): 2271–2311.
Version: Author's final manuscript
ISSN
1022-1824
1420-9020

Collections
  • MIT Open Access Articles

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

Login

Statistics

OA StatisticsStatistics by CountryStatistics by Department
MIT Libraries
PrivacyPermissionsAccessibilityContact us
MIT
Content created by the MIT Libraries, CC BY-NC unless otherwise noted. Notify us about copyright concerns.