Compact symmetric triads and symmetric triads with multiplicities
Differential Geometry
2025-06-04 v1
Abstract
In this paper, we develop the theory of symmetric triads with multiplicities. First, we classify abstract symmetric triads with multiplicities. Second, we determine the symmetric triads with multiplicities corresponding to commutative compact symmetric triads. As applications, we give the classifications for commutative compact symmetric triads, which consist of two types depending on the choice of the equivalence relations.
Keywords
Cite
@article{arxiv.2506.02511,
title = {Compact symmetric triads and symmetric triads with multiplicities},
author = {Kurando Baba and Osamu Ikawa},
journal= {arXiv preprint arXiv:2506.02511},
year = {2025}
}
Comments
44 pages