A unified approach to compact symmetric spaces of rank one

TL;DR

This paper introduces a unified algebraic framework that simplifies the description and analysis of all compact symmetric spaces of rank one, enabling case-free handling and further applications.

Contribution

It provides a novel, unified algebraic approach to compact symmetric spaces of rank one, avoiding case-by-case distinctions and facilitating broader applications.

Findings

Unified algebraic framework for all compact symmetric spaces of rank one

Simplifies analysis without case distinctions

Enables new applications and further results

Abstract

A relatively simple algebraic framework is given, in which all the compact symmetric spaces can be described and handled without distinguishing cases. We also give some applications and further results.