On Terwilliger \mathbbF-algebras of factorial association schemes

2024/03/13 by Jiang, Yu
#05E16 #05E30 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2403.08537

Abstract

The Terwilliger algebras of association schemes over an arbitrary field \mathbbF were called the Terwilliger \mathbbF-algebras of association schemes in [8]. In this paper, we study the Terwilliger \mathbbF-algebras of factorial association schemes. We determine the \mathbbF-dimensions, the centers, the semisimplicity, the Jacobson radicals, and the algebraic structures of the Terwilliger \mathbbF-algebras of factorial association schemes.

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