论文标题
在terwilliger $ \ mathbb {f} $ - 准薄协会方案的代数
On Terwilliger $\mathbb{F}$-algebras of quasi-thin association schemes
论文作者
论文摘要
在[3]中，哈纳基将关联方案的Terwilliger代数定义在交换的Unital环上。 In this paper, we call the Terwilliger algebras of association schemes over a field $\mathbb{F}$ the Terwilliger $\mathbb{F}$-algebras of association schemes and study the Terwilliger $\mathbb{F}$-algebras of quasi-thin association schemes.作为主要结果，我们确定$ \ mathbb {f} $ - 尺寸，半透明性，雅各布森激进分子和Terwilliger $ \ Mathbb {f} $的代数结构 - Quasi-thin Association Schemes的代数。我们还以独立的兴趣获得了一些结果。
In [3], Hanaki defined the Terwilliger algebras of association schemes over a commutative unital ring. In this paper, we call the Terwilliger algebras of association schemes over a field $\mathbb{F}$ the Terwilliger $\mathbb{F}$-algebras of association schemes and study the Terwilliger $\mathbb{F}$-algebras of quasi-thin association schemes. As main results, we determine the $\mathbb{F}$-dimensions, the semisimplicity, the Jacobson radicals, and the algebraic structures of the Terwilliger $\mathbb{F}$-algebras of quasi-thin association schemes. We also get some results with independent interests.
