On the depth r Bernstein projector
Representation Theory
2018-10-11 v3 Number Theory
Abstract
In this paper we prove an explicit formula for the Bernstein projector to representations of depth at most 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.
Cite
@article{arxiv.1504.01353,
title = {On the depth r Bernstein projector},
author = {Roman Bezrukavnikov and David Kazhdan and Yakov Varshavsky},
journal= {arXiv preprint arXiv:1504.01353},
year = {2018}
}
Comments
42 pages, a grant acknowledgement is changed