5 citations · 11 across the 17 of their papers we have counts for
4 papers · 2 filters
Annihilators of permutation modules
Stephen Doty, Kathryn Nyman
Permutation modules are fundamental in the representation theory of symmetric groups $\Sym_n$ and their corresponding Iwahori--Hecke algebras $\He = \He(\Sym_n)$. We find an explic…
On the blocks of the walled Brauer algebra
Anton Cox, Maud De Visscher, Stephen Doty +1
We determine the blocks of the walled Brauer algebra in characteristic zero. These can be described in terms of orbits of the action of a Weyl group of type on a certain set of…
Hook modules for general linear groups
Stephen Doty, Stuart Martin
For an arbitrary infinite field k of characteristic p > 0, we describe the structure of a block of the algebraic monoid M_n(k) (all n x n matrices over k), or, equivalently, a bloc…
New versions of Schur-Weyl duality
Stephen Doty
After reviewing classical Schur-Weyl duality, we present some other contexts which enjoy similar features, relating to Brauer algebras and classical groups.