About a question of Gateva-Ivanova and Cameron on square-free set-theoretic solutions of the Yang-Baxter equation
From MaRDI portal
Publication:5112761
DOI10.1080/00927872.2020.1713328zbMath1461.16036arXiv1904.07805OpenAlexW3001574459MaRDI QIDQ5112761
M. Castelli, Francesco Catino, G. Pinto
Publication date: 8 June 2020
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.07805
Related Items (5)
Simplicity of indecomposable set-theoretic solutions of the Yang-Baxter equation ⋮ Enumeration of set-theoretic solutions to the Yang–Baxter equation ⋮ Inverse semi-braces and the Yang-Baxter equation ⋮ Left non-degenerate set-theoretic solutions of the Yang–Baxter equation and dynamical extensions of q-cycle sets ⋮ Set-theoretical solutions to the Hom-Yang-Baxter equation and Hom-cycle sets
Cites Work
- Cohomology and extensions of braces
- Homology of left non-degenerate set-theoretic solutions to the Yang-Baxter equation
- Multipermutation solutions of the Yang-Baxter equation
- Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova.
- Retractability of set theoretic solutions of the Yang-Baxter equation
- A family of irretractable square-free solutions of the Yang-Baxter equation
- The retraction relation for biracks
- A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation
- Set-theoretical solutions to the quantum Yang-Baxter equation
- Indecomposable involutive set-theoretic solutions of the Yang-Baxter equation
- Braces and the Yang-Baxter equation
- Quasi-linear Cycle Sets and the Retraction Problem for Set-theoretic Solutions of the Quantum Yang-Baxter Equation
- On some unsolved problems in quantum group theory
- A new family of set-theoretic solutions of the Yang–Baxter equation
- A combinatorial approach to the set-theoretic solutions of the Yang–Baxter equation
- Dynamical extensions of quasi-linear left cycle sets and the Yang–Baxter equation
- Problems on skew left braces
- Construction of quasi-linear left cycle sets
This page was built for publication: About a question of Gateva-Ivanova and Cameron on square-free set-theoretic solutions of the Yang-Baxter equation