An Euler-Poincare formula for a depth zero Bernstein projector

Author: 

Barbasch, D
Ciubotaru, D
Moy, A

Publication Date: 

28 March 2019

Journal: 

Representation Theory

Last Updated: 

2020-05-22T06:14:45.41+01:00

Volume: 

23

DOI: 

10.1090/ert/525

page: 

154-187

abstract: 

Work of Bezrukavnikov-Kazhdan-Varshavsky uses an equivariant system of trivial idempotents of Moy-Prasad groups to obtain an Euler-Poincaré formula for the r-depth Bernstein projector. We establish an Euler-Poincaré formula for natural sums of depth zero Bernstein projectors (which is often the projector of a single Bernstein component) in terms of an equivariant system of Peter-Weyl idempotents of parahoric subgroups GF associated to a block of the reductive quotient GF /G+F

Symplectic id: 

975267

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article