Work

Double Satake Diagrams and Canonical Forms in Compact Symmetric Triads

Year: 2024

Type: article

Abstract: 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.

Source: International Electronic Journal of Geometry

DOI: 10.36890/iejg.1486767

Authors: Kurando Baba, Osamu Ikawa

Institutions: Tokyo University of Science, Kyoto Institute of Technology

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Japan Society for the Promotion of Science

Award: The geometry of orbits of noncommutative Hermann actions