On Terwilliger π½-algebras of direct products of group divisible association schemes
Abstract
The Terwilliger algebras of association schemes over an arbitrary field F were briefly called the Terwilliger F-algebras of association schemes in [Citation9]. In this paper, the Terwilliger F-algebras of direct products of group divisible association schemes are studied. The centers, the semisimplicity, the Jacobson radicals and their nilpotent indices, the Wedderburn-Artin decompositions of the Terwilliger F-algebras of direct products of group divisible association schemes are obtained.
Fields of Study & Subjects
Finite Group Theory Research
Advanced Topics in Algebra
Rings
Modules
and Algebras
Publication details
- Journal / source
- Communications in Algebra
- Volume
- 54
- Issue
- 7
- Pages
- 2868β2897
- Publication date
- 19 January 2026
- Language
- EN