Compact symmetric triads and symmetric triads with multiplicities

Kurando Baba; Osamu Ikawa

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arXiv · 2506.02511

Compact symmetric triads and symmetric triads with multiplicities

Kurando Baba·Osamu Ikawa

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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.

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Kurando Baba, Osamu Ikawa. 2025-06-03. Compact symmetric triads and symmetric triads with multiplicities. https://arxiv.org/abs/2506.02511

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