4 papers
Affine Hecke algebras of type D and generalisations of quiver Hecke algebras
L. Poulain d'Andecy, R. Walker
We define and study cyclotomic quotients of affine Hecke algebras of type D. We establish an isomorphism between (direct sums of blocks of) these cyclotomic quotients and a general…
Affine Hecke algebras and generalisations of quiver Hecke algebras for type B
L. Poulain d'Andecy, R. Walker
We define and study cyclotomic quotients of affine Hecke algebras of type B. We establish an isomorphism between direct sums of blocks of these algebras and a generalisation, for t…
Convolution Products and R-Matrices for KLR Algebras of Type
Ruari Walker
In this paper we define and study convolution products for modules over certain families of VV algebras. We go on to study morphisms between these products which yield solutions to…
On Morita Equivalences Between KLR Algebras and VV Algebras
Ruari Walker
This paper is investigative work into the properties of a family of graded algebras recently defined by Varagnolo and Vasserot, which we call VV algebras. We compare categories of…