论文标题

紧凑的对称三合会中的双卫星图和规范形式

Double Satake diagrams and canonical forms in compact symmetric triads

论文作者

Baba, Kurando, Ikawa, Osamu

论文摘要

在本文中,我们首先介绍了紧凑型对称三合会的双萨克图图的概念。就这个概念而言,我们为紧凑型对称三合会的分类定理提供了另一种证据,该定理最初是由Toshihiko Matsuki给出的。其次,我们介绍了用于紧凑的对称三合会的规范形式的概念,并证明存在用于紧凑的简单对称三合会的规范形式。我们还为规范形式提供了一些属性。

In this paper, we first introduce the notion of double Satake diagrams for compact symmetric triads. In terms of this notion, we give an alternative proof for the classification theorem for compact symmetric triads, which was originally given by Toshihiko Matsuki. Secondly, we introduce the notion of canonical forms for compact symmetric triads, and prove the existence of canonical forms for compact simple symmetric triads. We also give some properties for canonical forms.

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