Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595957 | Journal of Pure and Applied Algebra | 2016 | 13 Pages |
Abstract
We develop a theory of extensions for involutive and nondegenerate solutions of the set-theoretic Yang-Baxter equation and use it to produce new families of solutions. As an application we construct an infinite family of counterexamples to a conjecture of Gateva-Ivanova related to the retractability of square-free solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
L. Vendramin,