On the depth r Bernstein projector
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29_2016_278_ReferencePDF.pdf
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3.72 MB
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Author(s)
Bezrukavnikov, Roman
Kazhdan, David
Varshavsky, Yakov
Date Issued
October 2016
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s00029-016-0278-2
