The construction of multipermutation solutions of the Yang-Baxter equation of level 2

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41310%2F20%3A84587" target="_blank" >RIV/60460709:41310/20:84587 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S009731652030087X?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S009731652030087X?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jcta.2020.105295" target="_blank" >10.1016/j.jcta.2020.105295</a>

Result language
angličtina
Original language name
The construction of multipermutation solutions of the Yang-Baxter equation of level 2
Original language description
We study involutive set-theoretic solutions of the Yang-Baxter equation of multipermutation level 2. These solutions happen to fall into two classes - distributive ones and non-distributive ones. The distributive ones can be effectively constructed using a set of abelian groups and a matrix of constants. Using this construction, we enumerate all distributive involutive solutions up to size 14. The non-distributive solutions can be also easily constructed, using a distributive solution and a permutation.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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