Stephen Doty

collaborators

2 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.RT2025

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…

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

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