On Terwilliger F-algebras of factorial association schemes

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