6 citations · 6 across the 6 of their papers we have counts for
7 papers
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…
Almost Commutative Terwilliger Algebras II: Strong Gelfand Pairs
Nicholas L. Bastian, Stephen P. Humphries
Terwilliger algebras are a subalgebra of a matrix algebra constructed from an association scheme. In 2010, Tanaka defined what it means for a Terwilliger algebra to be almost commu…
Almost Commutative Terwilliger Algebras I: The Group Association Scheme
Nicholas L. Bastian, Stephen P. Humphries
Terwilliger algebras are a subalgebra of a matrix algebra constructed from an association scheme. Rie Tanaka defined what it means for a Terwilliger algebra to be almost commutativ…
Almost Commutative Terwilliger Algebras of Group Association Schemes II: Primitive Idempotents
Nicholas L. Bastian
This paper is a continuation of Almost Commutative Terwilliger Algebras of Group Association Schemes I: Classification [1]. In that paper, we found all groups G for which the Terwi…
Almost Commutative Terwilliger Algebras of Group Association Schemes I: Classification
Nicholas L. Bastian, Stephen P. Humphries
Terwilliger algebras are a subalgebra of a matrix algebra that are constructed from association schemes over finite sets. In 2010, Rie Tanaka defined what it means for a Terwillige…
On Schur Rings over Infinite Groups III
Nicholas Bastian, Andrew Misseldine
In the paper, we develop further the properties of Schur rings over infinite groups, with particular emphasis on the virtually cyclic group , where is a prime. We…
On Schur Rings Over Infinite Groups
Nicholas Bastian, Jaden Brewer, Andrew Misseldine
Schur rings are a type of subring of the group ring that is spanned by a partition of the group that meets certain conditions. Past literature has exclusively focused on the finite…