8 citations · 14 across the 5 of their papers we have counts for
11 papers · 1 filter
Unitary representations of cyclotomic Hecke algebras at roots of unity: combinatorial classification and BGG resolutions
Chris Bowman, Emily Norton, José Simental
We relate the classes of unitary and calibrated representations of cyclotomic Hecke algebras and, in particular, we show that for the most important deformation parameters these tw…
Integral Schur-Weyl duality for partition algebras
Chris Bowman, Stephen Doty, Stuart Martin
Let be a free module of rank over a commutative unital ring . We prove that tensor space satisfies Schur--Weyl duality, regarded as a bimodule for the ac…
Kronecker positivity and 2-modular representation theory
C. Bessenrodt, C. Bowman, L. Sutton
This paper consists of two prongs. Firstly, we prove that any Specht module labelled by a 2-separated partition is semisimple and we completely determine its decomposition as a dir…
The uniqueness of plethystic factorisation
Chris Bowman, Rowena Paget
We prove that a plethysm product of two Schur functions can be factorised uniquely and classify homogeneous and indecomposable plethysm products.
The lattice permutation condition for Kronecker tableaux (Extended Abstract)
C. Bowman, M. De Visscher, J. Enyang
We recently generalised the lattice permutation condition for Young tableaux to Kronecker tableaux and hence calculated a large new class of stable Kronecker coefficients labelled…
Characteristic-free bases and BGG resolutions of unitary simple modules for quiver Hecke and Cherednik algebras
C. Bowman, E. Norton, J. Simental
We construct characteristic-free bases and BGG resolutions of unitary simple modules of quiver Hecke algebras and Cherednik algebras. We hence solve and vastly generalise Berkesch-…