6 citations · 8 across the 6 of their papers we have counts for
7 papers
Cell Modules for Type Webs
Stuart Martin, Robert A. Spencer
We examine the cell modules for the category of type An webs and their natural cellular forms. We modify the bases of these modules, as described by Elias, to obtain an orthogonal…
-Jones-Wenzl Idempotents
Stuart Martin, R. A. Spencer
The Jones-Wenzl idempotents of the Temperley-Lieb algebra are celebrated elements defined over characteristic zero and for generic loop parameter. Given pointed field , we…
On the Schaper Number of Partitions
Liam Jolliffe, Stuart Martin
One of the most useful tools for calculating the decomposition numbers of the symmetric group is Schaper's sum formula. The utility of this formula for a given Specht module can be…
Integral Schur-Weyl duality for partition algebras
Chris Bowman, Stephen Doty, Stuart Martin
Let be a free module of rank over a commutative unital ring . We prove that tensor space satisfies Schur--Weyl duality, regarded as a bimodule for the ac…
An integral second fundamental theorem of invariant theory for partition algebras
Chris Bowman, Stephen Doty, Stuart Martin
We prove that the kernel of the action the group algebra of the Weyl group acting on tensor space (via restriction of the action from the general linear group) is a cell ideal with…
On the -subgraph of the Young graph
Eugenio Giannelli, Stacey Law, Stuart Martin
Let be a prime number. In this article we study the restriction to of irreducible characters of degree coprime to of . In particular, w…