Constructing skew bracoids via abelian maps, and solutions to the {Y}ang-{B}axter equation
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917905719885824 |
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| author | Koch, Alan Truman, Paul J. |
| author_facet | Koch, Alan Truman, Paul J. |
| contents | We show how one can use the skew braces constructed using abelian maps to generate families of skew bracoids as defined by Martin-Lyons and Truman. Under certain circumstances, these bracoids give right non-degenerate solutions to the Yang-Baxter equation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_17624 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Constructing skew bracoids via abelian maps, and solutions to the {Y}ang-{B}axter equation Koch, Alan Truman, Paul J. Group Theory Mathematical Physics 20N99, 16T25 We show how one can use the skew braces constructed using abelian maps to generate families of skew bracoids as defined by Martin-Lyons and Truman. Under certain circumstances, these bracoids give right non-degenerate solutions to the Yang-Baxter equation. |
| title | Constructing skew bracoids via abelian maps, and solutions to the {Y}ang-{B}axter equation |
| topic | Group Theory Mathematical Physics 20N99, 16T25 |
| url | https://arxiv.org/abs/2501.17624 |