An Euler-Poincar\'e formula for depth zero Bernstein projector
Representation Theory
2016-10-06 v1
Abstract
Work of Bezrukavnikov--Kazhdan--Varshavsky uses an equivariant system of trivial idempotents of Moy--Prasad groups to obtain an Euler--Poincar\'e formula for the r--depth Bernstein projector. We establish an Euler--Poincar\'e formula for the projector to an individual depth zero Bernstein component in terms of an equivariant system of Peter--Weyl idempotents of parahoric subgroups P associated to a block of the reductive quotient of P.
Cite
@article{arxiv.1610.01310,
title = {An Euler-Poincar\'e formula for depth zero Bernstein projector},
author = {Dan Barbasch and Dan Ciubotaru and Allen Moy},
journal= {arXiv preprint arXiv:1610.01310},
year = {2016}
}
Comments
38 pages, 2 figures