Skew braces: a brief survey

Fuente: arXiv
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Main Author: Vendramin, Leandro
Format: Preprint
Published: 2023
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author Vendramin, Leandro
author_facet Vendramin, Leandro
contents Our primary focus is on the theory of skew braces, specifically exploring their connection with combinatorial solutions to the Yang-Baxter equation. Skew braces have recently emerged as intriguing algebraic structures, and their link to the Yang-Baxter equation adds further depth and significance to their study. Throughout this article, we place particular emphasis on various problems and conjectures that arise within this field. These open questions serve to stimulate further research and investigation, as we strive to enhance our understanding of skew braces and their role in the study of the Yang-Baxter equation.
format Preprint
id arxiv_https___arxiv_org_abs_2311_07112
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Skew braces: a brief survey
Vendramin, Leandro
Rings and Algebras
Group Theory
Quantum Algebra
16T25, 19D99
Our primary focus is on the theory of skew braces, specifically exploring their connection with combinatorial solutions to the Yang-Baxter equation. Skew braces have recently emerged as intriguing algebraic structures, and their link to the Yang-Baxter equation adds further depth and significance to their study. Throughout this article, we place particular emphasis on various problems and conjectures that arise within this field. These open questions serve to stimulate further research and investigation, as we strive to enhance our understanding of skew braces and their role in the study of the Yang-Baxter equation.
title Skew braces: a brief survey
topic Rings and Algebras
Group Theory
Quantum Algebra
16T25, 19D99
url https://arxiv.org/abs/2311.07112