The structure skew brace associated with a finite non-degenerate solution of the Yang-Baxter equation is finitely presented

DOI10.1090/proc/16566arXiv2307.05540OpenAlexW4379619108MaRDI QIDQ6183374

Marco Trombetti

Publication date: 4 January 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.05540

zbMATH Keywords

Yang-Baxter equationskew bracefree skew brace

Mathematics Subject Classification ID

Yang-Baxter equations (16T25)

Cites Work

• An invitation to general algebra and universal constructions.
• Braces, radical rings, and the quatum Yang-Baxter equation.
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• Skew braces and the Yang–Baxter equation
• On some unsolved problems in quantum group theory
• On Structure Groups of Set-Theoretic Solutions to the Yang–Baxter Equation
• Skew left braces of nilpotent type
• Skew left braces with non-trivial annihilator
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
• Non-unitary set-theoretical solutions to the quantum Yang-Baxter equation.
• Central nilpotency of skew braces
• Nilpotency of skew braces and multipermutation solutions of the Yang–Baxter equation

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