2025/03/04 by Yu Jiang, Jiang, Yu
Mathematics · #05E16 #05E30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2503.02837
openalex publication_date 2025/03/04 · openalex created_date 2025/10/19 · openalex updated_date 2026/07/28
The Terwilliger algebras of association schemes over an arbitrary field \mathbbF were briefly called the Terwilliger \mathbbF-algebras of association schemes in [9]. In this paper, the Terwilliger \mathbbF-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 \mathbbF-algebras of direct products of group divisible association schemes are obtained.