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Journal Articles Compositio Mathematica Year : 2022

Hecke action on the principal block

Abstract

In this paper we construct an action of the affine Hecke category on the principal block of representations of a simply-connected semisimple algebraic group over an algebraically closed field of characteristic bigger than the Coxeter number. This confirms a conjecture of G. Williamson and the second author, and provides a new proof of the tilting character formula in terms of antispherical p-Kazhdan-Lusztig polynomials.
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Dates and versions

hal-02946323 , version 1 (23-09-2020)
hal-02946323 , version 2 (02-06-2022)

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Roman Bezrukavnikov, Simon Riche. Hecke action on the principal block. Compositio Mathematica, 2022, 158 (5), pp.953-1019. ⟨hal-02946323v2⟩
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