Extensions of Yang–Baxter sets
| Autor: | Bardakov, Valeriy G., Talalaev, Dmitry V. |
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| Rok vydání: | 2023 |
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| Zdroj: | Theoretical and Mathematical Physics. 215:609-621 |
| ISSN: | 1573-9333 0040-5779 |
| Popis: | The paper extends the notion of braided set and its close relative - the Yang-Baxter set - to the category of vector spaces and explore structure aspects of such a notion as morphisms and extensions. In this way we describe a family of solutions for the Yang-Baxter equation on the product of B and C if given B and C correspond to two linear (set-theoretic) solutions of the Yang-Baxter equation. One of the key observation is the relation of this question with the virtual pure braid group. Comment: 29 pages, 3 figures |
| Databáze: | OpenAIRE |
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