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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.17447 |
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| _version_ | 1866908978245533696 |
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| author | Hayami, Ryo |
| author_facet | Hayami, Ryo |
| contents | In this paper, we investigate a quandle structure induced by an augmented rack arising from a gauge transformation group. We construct a quandle from a principal bundle and its discrete generalization. When we see a group as a (discrete) principal bundle over a point, this quandle becomes equivalent to the generalized Alexander quandle for its inner automorphism. Moreover, we construct a Lie and Noether quandle structure from a smooth gauge transformation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_17447 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quandles from gauge transformations Hayami, Ryo Group Theory Quantum Algebra In this paper, we investigate a quandle structure induced by an augmented rack arising from a gauge transformation group. We construct a quandle from a principal bundle and its discrete generalization. When we see a group as a (discrete) principal bundle over a point, this quandle becomes equivalent to the generalized Alexander quandle for its inner automorphism. Moreover, we construct a Lie and Noether quandle structure from a smooth gauge transformation. |
| title | Quandles from gauge transformations |
| topic | Group Theory Quantum Algebra |
| url | https://arxiv.org/abs/2604.17447 |