A simple character formula
Representation Theory
2020-09-11 v2 Algebraic Geometry
Abstract
In this paper we prove a character formula expressing the classes of simple representations in the principal block of a simply-connected semisimple algebraic group G in terms of baby Verma modules, under the assumption that the characteristic of the base field is bigger than 2h-1, where h is the Coxeter number of G. This provides a replacement for Lusztig's conjecture, valid under a reasonable assumption on the characteristic.
Keywords
Cite
@article{arxiv.1904.08085,
title = {A simple character formula},
author = {Simon Riche and Geordie Williamson},
journal= {arXiv preprint arXiv:1904.08085},
year = {2020}
}
Comments
24pp, final version