Extensions of Yang–Baxter sets
| العنوان: | Extensions of Yang–Baxter sets |
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| المؤلفون: | Bardakov, Valeriy G., Talalaev, Dmitry V. |
| المصدر: | Theoretical and Mathematical Physics. 215:609-621 |
| بيانات النشر: | Pleiades Publishing Ltd, 2023. |
| سنة النشر: | 2023 |
| مصطلحات موضوعية: | Nonlinear Sciences::Exactly Solvable and Integrable Systems, Mathematics::Category Theory, Mathematics::Quantum Algebra, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Statistical and Nonlinear Physics, Group Theory (math.GR), Mathematics - Group Theory, Mathematical Physics |
| الوصف: | 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 |
| تدمد: | 1573-9333 0040-5779 |
| DOI: | 10.1134/s0040577923050021 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d60a6a4c68d6fa8db81439a44c389a2f https://doi.org/10.1134/s0040577923050021 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....d60a6a4c68d6fa8db81439a44c389a2f |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 15739333 00405779 |
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| DOI: | 10.1134/s0040577923050021 |