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arXiv · 1604.02098

Hopf braces and Yang-Baxter operators

I. Angiono·C. Galindo·L. Vendramin
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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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BibTeXRIS

I. Angiono, C. Galindo, L. Vendramin. 2016-04-07. Hopf braces and Yang-Baxter operators. https://doi.org/10.1090/proc/13395

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