Stuart Martin

collaborators

3 papers

math.QA2026

Lowering operators, orthogonal decomposition of tensor space, and quantized Schur--Weyl duality

Stephen Doty, Anthony Giaquinto, Stuart Martin

For $q$ generic, Jimbo showed that $q$ -tensor space $V_{q}^{\otimes r}$ (where $V_{q}$ is the $n$ -dimensional vector representation) satisfies Schur--Weyl duality with respect to the c…

math.RT2026

Cell modules for the Temperley-Lieb algebra in mixed characteristic

Stuart Martin, Charles SenÃ©cal, Robert A. Spencer

We study the representation theory of the Temperley-Lieb algebra $TL_{n}^{k} (I^´)$ in mixed characteristic, i.e. over an arbitrary field $k$ of characteristic $p$ and where $Î´…

math.RT2024

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…