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 | |
State | Published - 1 Oct 2016 |
Keywords
- 22E35
- 22E50
All Science Journal Classification (ASJC) codes
- General Physics and Astronomy
- General Mathematics