IMAS 23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Skew braces and the Yang–Baxter equation
Autor/es:
VENDRAMIN, L.; GUARNIERI, L.
Revista:
MATHEMATICS OF COMPUTATION
Editorial:
AMER MATHEMATICAL SOC
Referencias:
Año: 2017 vol. 87 p. 2519 - 2534
ISSN:
0025-5718
Resumen:
Braces were introduced by Rump to study non-degenerate involutiveset-theoretic solutions of the Yang-Baxter equation. We generalize Rump´sbraces to the non-commutative setting and use this new structure to study notnecessarily involutive non-degenerate set-theoretical solutions of theYang-Baxter equation. Based on results of Bachiller and Catino and Rizzo, wedevelop an algorithm to enumerate and construct classical and non-classicalbraces of small size up to isomorphism. This algorithm is used to produce adatabase of braces of small size. The paper contains several open problems,questions and conjectures.
