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.References
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Additional Information
- Iván Angiono
- Affiliation: FaMAF-CIEM (CONICET), Universidad Nacional de Córdoba, Medina Allende s/n, Ciudad Universitaria, 5000 Córdoba, Argentina
- MR Author ID: 866599
- Email: angiono@famaf.unc.edu.ar
- César Galindo
- Affiliation: Departamento de matemáticas, Universidad de los Andes, Carrera 1 N. 18A - 10, Bogotá, Colombia
- Email: cn.galindo1116@uniandes.edu.co
- Leandro Vendramin
- Affiliation: Departamento de Matemática – FCEN, Universidad de Buenos Aires, Pab. I – Ciudad Universitaria (1428) Buenos Aires, Argentina
- MR Author ID: 829575
- Email: lvendramin@dm.uba.ar
- Received by editor(s): April 21, 2016
- Received by editor(s) in revised form: July 10, 2016
- Published electronically: November 3, 2016
- Communicated by: Kailash C. Misra
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 1981-1995
- MSC (2010): Primary 16T05, 16T25
- DOI: https://doi.org/10.1090/proc/13395
- MathSciNet review: 3611314