5 citations · 6 across the 10 of their papers we have counts for
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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…
Constructing quantized enveloping algebras via inverse limits of finite dimensional algebras
Stephen Doty
It is known that a generalized -Schur algebra may be constructed as a quotient of a quantized enveloping algebra $\UU$ or its modified form $\dot{\UU}$. On the other hand, we sh…
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.