2023/04/16 by Jiang, Yu
#05E16 (Secondary) #05E30 (Primary) #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.2304.07798
Let \mathbbF be an arbitrary field. In this paper, we continue studying the Terwilliger algebras of association schemes over \mathbbF that were called the Terwilliger \mathbbF-algebras of association schemes in [8]. We determine the algebraic structures of the Terwilliger \mathbbF-algebras of the association schemes induced from the Cayley tables of elementary abelian 2-groups, which provides infinite many examples and counterexamples for the study of the Terwilliger \mathbbF-algebras of association schemes.