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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2506.02511 |
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| _version_ | 1866918044313321472 |
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| author | Baba, Kurando Ikawa, Osamu |
| author_facet | Baba, Kurando Ikawa, Osamu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_02511 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Compact symmetric triads and symmetric triads with multiplicities Baba, Kurando Ikawa, Osamu Differential Geometry 53C35, 17B22 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. |
| title | Compact symmetric triads and symmetric triads with multiplicities |
| topic | Differential Geometry 53C35, 17B22 |
| url | https://arxiv.org/abs/2506.02511 |