IMAS   23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova
Autor/es:
L. VENDRAMIN
Revista:
JOURNAL OF PURE AND APPLIED ALGEBRA
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam; Año: 2016 vol. 220 p. 2064 - 2076
ISSN:
0022-4049
Resumen:
We develop a theory of extensions for involutive and nondegenerate solutionsof the set-theoretic Yang-Baxter equation and use it to produce new families ofsolutions. As an application we construct an infinite family of counterexamplesto a conjecture of Gateva-Ivanova related to the retractability of square-freesolutions.