Indecomposable involutive solutions of the Yang-Baxter equation of multipermutation level 2 with non-abelian permutation group
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41310%2F23%3A94855" target="_blank" >RIV/60460709:41310/23:94855 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jcta.2023.105753" target="_blank" >https://doi.org/10.1016/j.jcta.2023.105753</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jcta.2023.105753" target="_blank" >10.1016/j.jcta.2023.105753</a>
Alternative languages
Result language
angličtina
Original language name
Indecomposable involutive solutions of the Yang-Baxter equation of multipermutation level 2 with non-abelian permutation group
Original language description
We give a complete characterization of all indecomposable involutive solutions of the Yang-Baxter equation of multipermutation level 2. In the first step we present a construction of some family of such solutions and in the second step we prove that every indecomposable involutive solution of the Yang-Baxter equation with multipermutation level 2 is a homomorphic image of a solution previously constructed. Analyzing this epimorphism, we are able to obtain all such solutions up to isomorphism and enumerate these of small sizes.
Czech name
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Czech description
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Classification
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
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
JOURNAL OF COMBINATORIAL THEORY SERIES A
ISSN
0097-3165
e-ISSN
0097-3165
Volume of the periodical
197
Issue of the periodical within the volume
2023-07-01
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
35
Pages from-to
1-1
UT code for WoS article
001002761100001
EID of the result in the Scopus database
2-s2.0-85150503258