Hopf braces and Yang-Baxter operators

Angiono, Iván; Galindo, César; Vendramin, Leandro

doi:10.1090/proc/13395

Hopf braces and Yang-Baxter operators
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by Iván Angiono, César Galindo and Leandro Vendramin PDF

Proc. Amer. Math. Soc. 145 (2017), 1981-1995 Request permission

Abstract:

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.

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