Toward a Mackey formula for compact restriction of character sheaves
Representation Theory
2010-11-09 v1 Algebraic Geometry
Abstract
We generalize a result by Cunningham-Salmasian to a Mackey-type formula for the compact restriction of a semisimple perverse sheaf produced by parabolic induction from a character sheaf, under certain conditions on the parahoric group used to define compact restriction. This provides new tools for matching character sheaves with admissible representations.
Keywords
Cite
@article{arxiv.1011.1846,
title = {Toward a Mackey formula for compact restriction of character sheaves},
author = {Pramod N. Achar and Clifton L. R. Cunningham},
journal= {arXiv preprint arXiv:1011.1846},
year = {2010}
}