3 papers
math.RT2024
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…
math.RT2024
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…
math.GR2018
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…