On Terwilliger $\mathbb{F}$-algebras of factorial association schemes

Yu Jiang

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arXiv · 2403.08537

On Terwilliger $\mathbb{F}$-algebras of factorial association schemes

Yu Jiang

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Abstract

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

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Yu Jiang. 2024-03-13. On Terwilliger $\mathbb{F}$-algebras of factorial association schemes. https://arxiv.org/abs/2403.08537

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