12 citations · 27 across the 11 of their papers we have counts for
4 papers · 1 filter
The homology of the Brauer algebras
Rachael Boyd, Richard Hepworth, Peter Patzt
This paper investigates the homology of the Brauer algebras, interpreted as appropriate Tor-groups, and shows that it is closely related to the homology of the symmetric group. Our…
A Deligne complex for Artin Monoids
Rachael Boyd, Ruth Charney, Rose Morris-Wright
In this paper we introduce and study some geometric objects associated to Artin monoids. The Deligne complex for an Artin group is a cube complex that was introduced by the second…
Combinatorics of injective words for Temperley-Lieb algebras
Rachael Boyd, Richard Hepworth
This paper studies combinatorial properties of the 'complex of planar injective words', a chain complex of modules over the Temperley-Lieb algebra that arose in our work on homolog…
The homology of the Temperley-Lieb algebras
Rachael Boyd, Richard Hepworth
This paper studies the homology and cohomology of the Temperley-Lieb algebra TL_n(a), interpreted as appropriate Tor and Ext groups. Our main result applies under the common assump…