A geometric Steinberg formula
Representation Theory
2022-02-17 v2
Abstract
We prove an isomorphism for simple perverse sheaves on the affine Grassmannian of a connected reductive algebraic group that is a geometric counterpart (in light of the Finkelberg-Mirkovi\'c conjecture) of the Steinberg tensor product formula for simple representations of reductive groups over fields of positive characteristic.
Cite
@article{arxiv.2109.11980,
title = {A geometric Steinberg formula},
author = {Pramod N. Achar and Simon Riche},
journal= {arXiv preprint arXiv:2109.11980},
year = {2022}
}
Comments
25 pages. v2: minor revisions