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math.RT2020
Hecke action on the principal block
Roman Bezrukavnikov, Simon Riche
In this paper we construct an action of the affine Hecke category (in its "Soergel bimodules" incarnation) on the principal block of representations of a simply-connected semisimpl…
math.RT2020
Smith-Treumann theory and the linkage principle
Simon Riche, Geordie Williamson
We apply Treumann's "Smith theory for sheaves" in the context of the Iwahori--Whittaker model of the Satake category. We deduce two results in the representation theory of reductiv…