An embedding of spherical quandles into Lie groups
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911556683431936 |
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| author | Suzuki, Ayu Yonemura, Kentaro |
| author_facet | Suzuki, Ayu Yonemura, Kentaro |
| contents | We construct smooth embeddings of spherical quandles into conjugation quandles of Lie groups, where the ambient Lie groups can be taken to be orthogonal, Spin, or Pin groups. Moreover, in dimensions $1$ and $3$, we compare our embeddings with those due to Bergman and Akita. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_29479 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An embedding of spherical quandles into Lie groups Suzuki, Ayu Yonemura, Kentaro Geometric Topology Primary 20N02, Secondary 77K12, 53C35 We construct smooth embeddings of spherical quandles into conjugation quandles of Lie groups, where the ambient Lie groups can be taken to be orthogonal, Spin, or Pin groups. Moreover, in dimensions $1$ and $3$, we compare our embeddings with those due to Bergman and Akita. |
| title | An embedding of spherical quandles into Lie groups |
| topic | Geometric Topology Primary 20N02, Secondary 77K12, 53C35 |
| url | https://arxiv.org/abs/2603.29479 |