Decomposition Theorems for Involutive Solutions to the Yang–Baxter Equation
Author:
Affiliation:
1. IMAS–CONICET and Depto. de Matemática, FCEN, Universidad de Buenos Aires, Pabellón 1, Ciudad Universitaria, C1428EGA, Buenos Aires, Argentina
2. Department of Mathematics and Data Science, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussel
Abstract
Funder
NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
Publisher
Oxford University Press (OUP)
Subject
General Mathematics
Link
http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnab232/39870333/rnab232.pdf
Reference22 articles.
1. Enumeration of set-theoretic solutions to the Yang–Baxter equation;Akgun,2021
2. Imprimitive permutations in primitive groups;Araújo;J. Algebra,2017
3. A characterization of finite multipermutation solutions of the Yang–Baxter equation;Bachiller;Publ. Mat.,2018
4. Involutive Yang–Baxter groups;Cedó;Trans. Amer. Math. Soc.,2010
5. Primitive set-theoretic solutions of the Yang–Baxter equation;Cedó,2021
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1. (In)decomposability of finite solutions of the Yang-Baxter equation;Archiv der Mathematik;2023-11-10
2. Indecomposable solutions of the Yang–Baxter equation of square-free cardinality;Advances in Mathematics;2023-10
3. Indecomposable solutions of the Yang-Baxter equation with permutation group of sizes pq and p 2 q;Communications in Algebra;2023-04-21
4. Decomposability of QYBE Solutions Revisited;Results in Mathematics;2023-02-18
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