Hopf braces and Yang-Baxter operators
Quantum Algebra
2017-02-16 v2 Rings and Algebras
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.
Cite
@article{arxiv.1604.02098,
title = {Hopf braces and Yang-Baxter operators},
author = {I. Angiono and C. Galindo and L. Vendramin},
journal= {arXiv preprint arXiv:1604.02098},
year = {2017}
}
Comments
15 pages. Final version. Accepted for publication in Proc. Amer. Math. Soc