论文标题

基于系统和字符代数

Idempotent systems and character algebras

论文作者

Nomura, Kazumasa, Terwilliger, Paul

论文摘要

我们最近介绍了一个掌握系统的概念。该线性代数对象是由关联方案的结构激励的。据说有一种类型的基本系统。在本文中,我们将同构系统分类为同构系统和对称的IDEMPOTENT系统。我们还描述了对称型系统如何与字符代数有关。

We recently introduced the notion of an idempotent system. This linear algebraic object is motivated by the structure of an association scheme. There is a type of idempotent system, said to be symmetric. In the present paper we classify up to isomorphism the idempotent systems and the symmetric idempotent systems. We also describe how symmetric idempotent systems are related to character algebras.

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