On the depth r Bernstein projector

Roman Bezrukavnikov, David Kazhdan, Yakov Varshavsky*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


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.

Original languageAmerican English
Pages (from-to)2271-2311
Number of pages41
JournalSelecta Mathematica, New Series
Issue number4
StatePublished - 1 Oct 2016

Bibliographical note

Publisher Copyright:
© 2016, Springer International Publishing.


  • 22E35
  • 22E50


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