4 citations · 5 across the 4 of their papers we have counts for
4 papers
Cell modules for the Temperley-Lieb algebra in mixed characteristic
Stuart Martin, Charles Senécal, Robert A. Spencer
We study the representation theory of the Temperley-Lieb algebra in mixed characteristic, i.e. over an arbitrary field of characteristic and where …
Lowering operators, orthogonal decomposition of tensor space, and quantized Schur--Weyl duality
Stephen Doty, Anthony Giaquinto, Stuart Martin
For generic, Jimbo showed that -tensor space (where is the -dimensional vector representation) satisfies Schur--Weyl duality with respect to the c…
Canonical bases and new applications of increasing and decreasing subsequences to invariant theory
C. Bowman, S. Doty, S. Martin
In 2012 Raghavan, Samuel, and Subrahmanyam showed that the Kazhdan--Lusztig basis for the Iwahori--Hecke algebra in type A provides a ``canonical'' basis for the centraliser algebr…
A Reciprocity Result for Projective Indecomposable Modules of Cellular Algebras and BGG Algebras
C. Bowman, S. Martin
We show that an adaptation of Landrock's Lemma for symmetric algebras also holds for cellular algebras and BGG algebras. This is a result relating the radical layers of any two pro…