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Constructing skew bracoids via abelian maps, and solutions to the Yang-Baxter equation

2025/01/29 by Alan Koch, Paul J. Truman, Koch, Alan +1
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Advanced Topics in Algebra #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2501.17624

Abstract

We show how one can use the skew braces constructed using abelian maps to generate families of skew bracoids as defined by Martin-Lyons and Truman. Under certain circumstances, these bracoids give right non-degenerate solutions to the Yang-Baxter equation.

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