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20102023
most citedThe block structure of the partition algebras in characteristic

4 citations · 11 across the 8 of their papers we have counts for

collaborators

8 papers

math.RT2023★ 1 cited

Quiver presentations and isomorphisms of Hecke categories and Khovanov arc algebras

Chris Bowman, Maud De Visscher, Amit Hazi +1

We prove that the extended Khovanov arc algebras are isomorphic to the basic algebras of anti-spherical Hecke categories for maximal parabolics of symmetric groups. We present thes…

math.RT2022

The anti-spherical Hecke categories for Hermitian symmetric pairs

Chris Bowman, Maud De Visscher, Amit Hazi +1

We calculate the -Kazhdan--Lusztig polynomials for Hermitian symmetric pairs and prove that the corresponding anti-spherical Hecke categories categories are standard Koszul. We…

math.RT2017★ 4 cited

The co-Pieri rule for Kronecker coefficients

C. Bowman, M. De Visscher, J. Enyang

A fundamental problem in the representation theory of the symmetric group, Sn, is to describe the coefficients in the decomposition of a tensor product of two simple representation…

math.RT2016

Simple modules for the partition algebra and monotone convergence of Kronecker coefficients

C. Bowman, M. De Visscher, J. Enyang

We construct bases of the simple modules for partition algebras which are indexed by paths in an alcove geometry. This allows us to give a concrete interpretation (and new proof) o…

math.RT2014★ 4 cited

The block structure of the partition algebras in characteristic

C. Bowman, M. De Visscher, O. King

In this paper we describe the blocks of the partition algebra over a field of positive characteristic.

math.RT2012★ 1 cited

On Brauer algebra simple modules over the complex field

Maud De Visscher, Paul P. Martin

This paper gives two results on the simple modules for the Brauer algebra over the complex field. First we describe the module structure of the restriction of all simple modules. S…

math.RT2012★ 1 cited

Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero

C. Bowman, A. G. Cox, M. De Visscher

We study the representation theory of the cyclotomic Brauer algebra via truncation to idempotent subalgebras which are isomorphic to a product of walled and classical Brauer algebr…

math.RT2010

Diagrammatic Kazhdan-Lusztig theory for the (walled) Brauer algebra

Anton Cox, Maud De Visscher

We determine the decomposition numbers for the Brauer and walled Brauer algebra in characteristic zero in terms of certain polynomials associated to cap and curl diagrams (recoveri…