Dehornoy’s class and Sylows for set-theoretical solutions of the Yang–Baxter equation

DOI10.1142/s0218196724500048arXiv2302.02652OpenAlexW4364385996WikidataQ130186117 ScholiaQ130186117MaRDI QIDQ6195311

Unnamed Author

Publication date: 13 March 2024

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.02652

zbMATH Keywords

Yang-Baxter equationbracescycle setGarside monoidSylowmonomial representationZappa-Szép

Mathematics Subject Classification ID

Integral representations of finite groups (20C10) Sets with a single binary operation (groupoids) (20N02) Yang-Baxter equations (16T25)

Cites Work

• Unnamed Item
• Unnamed Item
• Folding of set-theoretical solutions of the Yang-Baxter equation.
• Braces, radical rings, and the quatum Yang-Baxter equation.
• Semigroups of \(I\)-type
• Extensions, matched products, and simple braces
• A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation
• Set-theoretical solutions to the quantum Yang-Baxter equation
• The matched product of set-theoretical solutions of the Yang-Baxter equation
• Foundations of Garside theory
• Braces and the Yang-Baxter equation
• Right \(l\)-groups, geometric Garside groups, and solutions of the quantum Yang-Baxter equation
• Set-theoretic solutions of the Yang-Baxter equation, RC-calculus, and Garside germs.
• Garside Groups and Yang–Baxter Equation
• On some unsolved problems in quantum group theory
• Left Braces: Solutions of the Yang-Baxter Equation
• Primitive set-theoretic solutions of the Yang–Baxter equation
• Enumeration of set-theoretic solutions to the Yang–Baxter equation

This page was built for publication: Dehornoy’s class and Sylows for set-theoretical solutions of the Yang–Baxter equation