54 citations · 259 across the 30 of their papers we have counts for
40 papers
A geometric Steinberg formula
Pramod N. Achar, Simon Riche
We prove an isomorphism for simple perverse sheaves on the affine Grassmannian of a connected reductive algebraic group that is a geometric counterpart (in light of the Finkelberg-…
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…
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…
A simple character formula
Simon Riche, Geordie Williamson
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 ba…
Conjectures on tilting modules and antispherical -cells
Pramod N. Achar, William Hardesty, Simon Riche
For quantum groups at a root of unity, there is a web of theorems (due to Bezrukavnikov and Ostrik, and relying on work of Lusztig) connecting the following topics: (i) tilting mod…
Integral exotic sheaves and the modular Lusztig-Vogan bijection
Pramod N. Achar, William Hardesty, Simon Riche
Let G be a reductive group over an algebraically closed field k of very good characteristic. The Lusztig-Vogan bijection is a bijection between the set of dominant weights for G an…