Skew left braces and the Yang-Baxter equation
Lindsay N. Childs
TL;DR
This paper demonstrates that skew left braces can be used to generate solutions to the Yang-Baxter equation, providing a clear and self-contained proof of this connection.
Contribution
It offers a self-contained proof establishing the link between skew left braces and solutions to the Yang-Baxter equation, clarifying their relationship.
Findings
Skew left braces produce solutions to the Yang-Baxter equation.
The proof is self-contained and accessible.
The connection between algebraic structures and the Yang-Baxter equation is clarified.
Abstract
We give a self-contained proof that a skew left brace yields a solution of the Yang-Baxter equation.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory