On the depth r Bernstein projector

Author(s)
Bezrukavnikov, Roman; Kazhdan, David; Varshavsky, Yakov
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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
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