An Iwahori-Whittaker model for the Satake category
Representation Theory
2019-12-18 v3
Abstract
In this paper we prove, for G a connected reductive algebraic group satisfying a technical assumption, that the Satake category of G (with coefficients in a finite field, a finite extension of Q_l, or the ring of integers of such a field) can be described via Iwahori-Whittaker perverse sheaves on the affine Grassmannian. As an application, we confirm a conjecture of Juteau-Mautner-Williamson describing the tilting objects in the Satake category.
Keywords
Cite
@article{arxiv.1806.06527,
title = {An Iwahori-Whittaker model for the Satake category},
author = {Roman Bezrukavnikov and Dennis Gaitsgory and Ivan Mirković and Simon Riche and Laura Rider},
journal= {arXiv preprint arXiv:1806.06527},
year = {2019}
}
Comments
25 pages - some references added