Stuart Martin

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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…