Hopf braces and Yang-Baxter operators

Angiono, Iván Ezequiel; Galindo Martinez, Cesar Neyit; Vendramin, Claudio Leandro

Artículos de revistas

Fecha

2017-01

Registro en:

Angiono, Iván Ezequiel; Galindo Martinez, Cesar Neyit; Vendramin, Claudio Leandro; Hopf braces and Yang-Baxter operators; American Mathematical Society; Proceedings of the American Mathematical Society; 145; 5; 1-2017; 1981-1995

0002-9939

http://hdl.handle.net/11336/55430

CONICET Digital

CONICET

http://repositorioslatinoamericanos.uchile.cl/handle/2250/1887079

Autor

Angiono, Iván Ezequiel

Galindo Martinez, Cesar Neyit

Vendramin, Claudio Leandro

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

This paper introduces Hopf braces, a new algebraic structure related to the Yang–Baxter equation, which include Rump’s braces and their non-commutative generalizations as particular cases. Several results of classical braces are still valid in our context. Furthermore, Hopf braces provide the right setting for considering left symmetric algebras as Lie-theoretical analogs of braces.

Materias

Hopf algebras

Braces

Yang-Baxter equation

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