8 citations · 13 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
On the centralizer of a balanced nilpotent section
William Hardesty
Let be a split reductive algebraic group defined over a complete discrete valuation ring , with residue field and fraction field , where th…
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…
Representation theory of disconnected reductive groups
P. Achar, W. Hardesty, S. Riche
We study three fundamental topics in the representation theory of disconnected algebraic groups whose identity component is reductive: (i) the classification of irreducible represe…
Explicit calculations in an infinitesimal singular block of
William Hardesty
Let be defined over an algebraically closed field of characteristic . For each there exists a singular block in the category of -modules which…