Hecke algebras and affine flag varieties in characteristic p
Representation Theory
2015-10-05 v3 Algebraic Geometry
Abstract
Let G be a split semi-simple p-adic group and let H be its Iwahori-Hecke algebra with coefficients in the algebraic closure k of the finite field with p elements. Let F be the affine flag variety over k associated with G. We show, in the simply connected simple case, that a torus-equivariant K'-theory of F (with coefficients in k) admits an H-action by Demazure operators and that this provides a model for the regular representation of H.
Keywords
Cite
@article{arxiv.1501.06055,
title = {Hecke algebras and affine flag varieties in characteristic p},
author = {Tobias Schmidt},
journal= {arXiv preprint arXiv:1501.06055},
year = {2015}
}
Comments
Third version. Some typos and notational issues fixed