Indecomposable involutive solutions of the Yang-Baxter equation of multipermutational level 2 with abelian permutation group

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41310%2F21%3A85760" target="_blank" >RIV/60460709:41310/21:85760 - isvavai.cz</a>

Result on the web

<a href="https://www.degruyter.com/document/doi/10.1515/forum-2021-0130/html" target="_blank" >https://www.degruyter.com/document/doi/10.1515/forum-2021-0130/html</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1515/forum-2021-0130" target="_blank" >10.1515/forum-2021-0130</a>

Result language

angličtina

Original language name

Indecomposable involutive solutions of the Yang-Baxter equation of multipermutational level 2 with abelian permutation group

Original language description

We present a construction of all finite indecomposable involutive solutions of the Yang-Baxter equation of multipermutational level at most 2 with abelian permutation group. As a consequence, we obtain a formula for the number of such solutions with a fixed number of elements. We also describe some properties of the automorphism groups in this case, in particular, we show they are regular abelian groups.

Czech name

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Czech description

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Type

J_imp - 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

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2021

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

FORUM MATHEMATICUM

ISSN

0933-7741

e-ISSN

—

Volume of the periodical

33

Issue of the periodical within the volume

5

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

14

Pages from-to

1083-1096

UT code for WoS article

000775543500001

EID of the result in the Scopus database

2-s2.0-85114416569