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arXiv · 1904.08085

A simple character formula

Simon Riche·Geordie Williamson
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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.

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Simon Riche, Geordie Williamson. 2019-04-17. A simple character formula. https://arxiv.org/abs/1904.08085

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