William D. Hardesty

collaborators

5 papers

math.RT2021

Nilpotent centralizers and good filtrations

Pramod N. Achar, William Hardesty

Let $G$ be a connected reductive group over an algebraically closed field $k$ . Under mild restrictions on the characteristic of $k$ , we show that any $G$ -module with a good…

math.RT2018

Conjectures on tilting modules and antispherical $p$ -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…

math.GR2018

On the centralizer of a balanced nilpotent section

William Hardesty

Let $G$ be a split reductive algebraic group defined over a complete discrete valuation ring $O$ , with residue field $F$ and fraction field $K$ , where th…

math.RT2018

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…

math.RT2018

Explicit calculations in an infinitesimal singular block of $S L_{N}$

William Hardesty

Let $G = S L_{n + 1}$ be defined over an algebraically closed field of characteristic $p > 2$ . For each $n \geq 1$ there exists a singular block in the category of $G_{1}$ -modules which…

Nilpotent centralizers and good filtrations

Conjectures on tilting modules and antispherical p-cells

On the centralizer of a balanced nilpotent section

Representation theory of disconnected reductive groups

Explicit calculations in an infinitesimal singular block of SLN​

Conjectures on tilting modules and antispherical $p$ -cells

Explicit calculations in an infinitesimal singular block of $S L_{N}$