8 citations · 28 across the 16 of their papers we have counts for
4 papers · 1 filter
Towers of recollement and bases for diagram algebras: planar diagrams and a little beyond
Paul Martin, R M Green, Alison Parker
The recollement approach to the representation theory of sequences of algebras is extended to pass basis information directly through the globalisation functor. The method is hence…
Full heaps and representations of affine Weyl groups
R. M. Green
We use the author's combinatorial theory of full heaps (defined in math.QA/0605768) to categorify the action of a large class of Weyl groups on their root systems, and thus to give…
Full heaps and representations of affine Kac--Moody algebras
R. M. Green
We give a combinatorial construction, not involving a presentation, of almost all untwisted affine Kac--Moody algebras modulo their one-dimensional centres in terms of signed raisi…
Presenting affine q-Schur algebras
S. R. Doty, R. M. Green
We obtain a presentation of certain affine q-Schur algebras in terms of generators and relations. The presentation is obtained by adding more relations to the usual presentation of…