activity
20042020
most citedA geometric characterisation of the blocks of the Brauer algebra

23 citations · 41 across the 15 of their papers we have counts for

collaborators

15 papers

math.RT2020★ 1 cited

Path combinatorics and light leaves for quiver Hecke algebras

C. Bowman, A. Cox, A. Hazi +1

We recast the classical notion of standard tableaux in an alcove-geometric setting and extend these classical ideas to all reduced paths in our geometry. This broader path-perspect…

math.RT2020★ 2 cited

Path isomorphisms between quiver Hecke and diagrammatic Bott-Samelson endomorphism algebras

Chris Bowman, Anton Cox, Amit Hazi

We construct an explicit isomorphism between (truncations of) quiver Hecke algebras and Elias-Williamson's diagrammatic endomorphism algebras of Bott-Samelson bimodules. As a corol…

math.RT2019

The blocks of the periplectic Brauer algebra in positive characteristic

Sigiswald Barbier, Anton Cox, Maud De Visscher

We determine the blocks of the periplectic Brauer algebra over any field of odd characteristic.

math.RT2017★ 2 cited

Modular decomposition numbers of cyclotomic Hecke and diagrammatic Cherednik algebras: A path theoretic approach

C. Bowman, A. G. Cox

We introduce a path-theoretic framework for understanding the representation theory of (quantum) symmetric and general linear groups and their higher level generalisations over fie…

math.RT2015★ 3 cited

On graded decomposition numbers of Cherednik algebras

C. Bowman, A. G. Cox, L. Speyer

We provide an algorithmic description of a family of graded decomposition numbers for rational Cherednik algebras.

math.RT2013

Decomposition numbers for Brauer algebras of type G(m,p,n) in characteristic zero

C. Bowman, A. G. Cox

We introduce Brauer algebras associated to complex reflection groups of type , and study their representation theory via Clifford theory. In particular, we determine the…