Koszul duality for Kac-Moody groups and characters of tilting modules
Representation Theory
2017-06-02 v1
Abstract
We establish a character formula for indecomposable tilting modules for connected reductive groups in characteristic p in terms of p-Kazhdan-Lusztig polynomials, for p>h the Coxeter number. Using results of Andersen, one may deduce a character formula for simple modules if p>2h-3. Our results are a consequence of an extension to modular coefficients of a monoidal Koszul duality equivalence established by Bezrukavnikov and Yun.
Keywords
Cite
@article{arxiv.1706.00183,
title = {Koszul duality for Kac-Moody groups and characters of tilting modules},
author = {Pramod Achar and Shotaro Makisumi and Simon Riche and Geordie Williamson},
journal= {arXiv preprint arXiv:1706.00183},
year = {2017}
}
Comments
50 pages