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Journal Articles Annales Henri Lebesgue Year : 2020

A simple character formula


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 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 h. This provides a replacement for Lusztig's conjecture, valid under a reasonable assumption on the characteristic.
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hal-02111863 , version 1 (26-04-2019)
hal-02111863 , version 2 (03-09-2020)



Simon Riche, Geordie Williamson. A simple character formula. Annales Henri Lebesgue, 2020, 4, pp.503-535. ⟨hal-02111863v2⟩
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