Stephen Doty

activity

20222025

most citedCanonical bases and new applications of increasing and decreasing subsequences to invariant theory

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.QA2025

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.RT2024

A computational study of certain Weyl modules for type $G_{2}$ in characteristic 2

Stephen Doty

Using the \texttt{WeylModules} \textsf{GAP} Package, we compute structural information about certain Weyl modules for type $G_{2}$ in characteristic $2$ . This gives counterexamples t…

math.RT2022★ 1 cited

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…

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

A computational study of certain Weyl modules for type G2​ in characteristic 2

Canonical bases and new applications of increasing and decreasing subsequences to invariant theory

A computational study of certain Weyl modules for type $G_{2}$ in characteristic 2