On the depth r Bernstein projector

Roman Bezrukavnikov; David Kazhdan; Yakov Varshavsky

doi:10.1007/s00029-016-0278-2

On the depth r Bernstein projector

Roman Bezrukavnikov, David Kazhdan, Yakov Varshavsky

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	2271-2311
Number of pages	41
Journal	Selecta Mathematica, New Series
Volume	22
Issue number	4
DOIs	https://doi.org/10.1007/s00029-016-0278-2
State	Published - 1 Oct 2016

Keywords

22E35
22E50

All Science Journal Classification (ASJC) codes

General Mathematics
General Physics and Astronomy

Access to Document

10.1007/s00029-016-0278-2

Cite this

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N2 - 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.

AB - 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.

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KW - 22E50

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M3 - مقالة

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JO - Selecta Mathematica, New Series

JF - Selecta Mathematica, New Series

IS - 4

ER -

On the depth r Bernstein projector

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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