A family of solutions of the Yang-Baxter equation.
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Publication:403608
DOI10.1016/j.jalgebra.2014.05.011zbMath1303.16036arXiv1312.5142OpenAlexW2962849672MaRDI QIDQ403608
Publication date: 29 August 2014
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.5142
Related Items (15)
On groups of \(I\)-type and involutive Yang-Baxter groups ⋮ Solutions of the Yang-Baxter equation associated with a left brace. ⋮ Semi-braces and the Yang-Baxter equation ⋮ On Engel groups, nilpotent groups, rings, braces and the Yang-Baxter equation ⋮ On the commuting solutions to the Yang-Baxter-like matrix equation for identity matrix minus special rank-two matrices ⋮ Numerically stable iterative methods for computing matrix sign function ⋮ The interplay between \(k\)-graphs and the Yang-Baxter equation. ⋮ Solving the Yang-Baxter-like matrix equation for a class of elementary matrices ⋮ On the Yang-Baxter-like matrix equation for rank-two matrices ⋮ On commuting solutions of the Yang-Baxter-like matrix equation ⋮ Complete commuting solutions of the Yang-Baxter-like matrix equation for diagonalizable matrices ⋮ Set-theoretic solutions of the Yang-Baxter equation, braces and symmetric groups ⋮ Some non-commuting solutions of the Yang-Baxter-like matrix equation ⋮ The matched product of set-theoretical solutions of the Yang-Baxter equation ⋮ Commuting solutions of the Yang-Baxter-like matrix equation for a class of rank-two updated matrices
Cites Work
- Multipermutation solutions of the Yang-Baxter equation
- Monoids and groups of I-type.
- Braces, radical rings, and the quatum Yang-Baxter equation.
- Semigroups of \(I\)-type
- On the set-theoretical Yang-Baxter equation
- Set-theoretical solutions to the quantum Yang-Baxter equation
- Matched pairs approach to set theoretic solutions of the Yang-Baxter equation.
- Involutive Yang-Baxter groups
- On some unsolved problems in quantum group theory
- A combinatorial approach to the set-theoretic solutions of the Yang–Baxter equation
- NOETHERIAN SEMIGROUP ALGEBRAS
- Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
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