Constructing Hopf braces-Reference-Cited by-同舟云学术

Constructing Hopf braces

Published:2019-02 Issue:02 Volume:30 Page:1850089
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Agore A. L.¹²^ORCID

Affiliation:

1. Simion Stoilow Institute of Mathematics of the Romanian Academy, P. O. Box 1-764, 014700 Bucharest, Romania

2. Faculty of Engineering, Vrije Universiteit Brussel, Pleinlaan 2, B-1050 Brussels, Belgium

Abstract

We investigate Hopf braces, a concept recently introduced by Angiono, Galindo and Vendramin [I. Angiono, C. Galindo and L. Vendramin, Hopf braces and Yang–Baxter operators, Proc. Amer. Math. Soc. 145 (2017) 1981–1995] in connection to the quantum Yang–Baxter equation. More precisely, we propose two methods for constructing Hopf braces. The first one uses matched pairs of Hopf algebras while the second one relies on category-theoretic tools.

Funder

Fonds Wetenschappelijk Onderzoek

Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X18500891

Reference15 articles.

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2. Classifying Bicrossed Products of Hopf Algebras

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4. Partition function of the Eight-Vertex lattice model

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