Stephen P. Humphries

activity

20242026

collaborators

3 papers

math.CO2026

Schur rings over cyclic groups having Almost Commutative Terwilliger algebras

Nicholas L. Bastian, Stephen P. Humphries

Terwilliger algebras are subalgebras of a matrix algebra constructed from an association scheme. Rie Tanaka defined what it means for a Terwilliger algebra to be almost commutative…

math.RT2025

Strong Gelfand Pairs of the Symplectic Group $Sp_{4} (q)$ where $q$ is even

Stephen P. Humphries, Joseph E. Marrow

A strong Gelfand pair $(G, H)$ is a finite group $G$ together with a subgroup $H$ such that every irreducible character of $H$ induces to a multiplicity-free character of $G$ . We cl…

math.GR2024

Schur rings over $Sp (n, 2)$ and multiplicity one subgroups

Stephen P. Humphries

We study commutative Schur rings over the symplectic groups Sp $(n, 2)$ containing the class $C$ of symplectic transvections. We find the possible partitions of $C$ …

Schur rings over cyclic groups having Almost Commutative Terwilliger algebras

Strong Gelfand Pairs of the Symplectic Group Sp4​(q) where q is even

Schur rings over Sp(n,2) and multiplicity one subgroups

Strong Gelfand Pairs of the Symplectic Group $Sp_{4} (q)$ where $q$ is even

Schur rings over $Sp (n, 2)$ and multiplicity one subgroups