On the Terwilliger Algebras of Quasi-Thin Schurian Association Schemes
Abstract
We give necessary and sufficient conditions for the Terwilliger algebra of a quasi-thin Schurian association scheme to coincide with: (a) the centralizer algebra of a point stabilizer of its automorphism group, and (b) its subspace $T^0$. As a by-product, a full characterization of triply-transitive quasi-thin association schemes is given. Using the latter, we provide new infinite families of triply-transitive association schemes.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Finite Group Theory Research
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- The Electronic Journal of Combinatorics
- Volume
- 33
- Issue
- 3
- Publication date
- 7 August 2026