Involutive Yang-Baxter: cabling, decomposability, and Dehornoy class
From MaRDI portal
Publication:6490209
DOI10.4171/RMI/1438MaRDI QIDQ6490209
Santiago Ramírez, Victoria Lebed, Leandro Vendramin
Publication date: 23 April 2024
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Structure theory of algebraic structures (08A05) Other nonassociative rings and algebras (17D99) Yang-Baxter equations (16T25)
Cites Work
- Homology of left non-degenerate set-theoretic solutions to the Yang-Baxter equation
- Multipermutation solutions of the Yang-Baxter equation
- Classification of indecomposable involutive set-theoretic solutions to the Yang-Baxter equation
- Braces, radical rings, and the quatum Yang-Baxter equation.
- Semigroups of \(I\)-type
- Set-theoretic solutions of the Yang-Baxter equation and new classes of \(\mathrm{R}\)-matrices
- 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
- New simple solutions of the Yang-Baxter equation and solutions associated to simple left braces
- Simplicity of indecomposable set-theoretic solutions of the Yang-Baxter equation
- The matched product of the solutions to the Yang-Baxter equation of finite order
- Constructing finite simple solutions of the Yang-Baxter equation
- The matched product of set-theoretical solutions of the Yang-Baxter equation
- Finite quotients of groups of I-type.
- Braces and the Yang-Baxter equation
- Matched pairs approach to set theoretic solutions of the Yang-Baxter equation.
- Set-theoretic solutions of the Yang-Baxter equation, RC-calculus, and Garside germs.
- SEMIDIRECT PRODUCTS IN ALGEBRAIC LOGIC AND SOLUTIONS OF THE QUANTUM YANG–BAXTER EQUATION
- Iterated matched products of finite braces and simplicity; new solutions of the Yang-Baxter equation
- On Structure Groups of Set-Theoretic Solutions to the Yang–Baxter Equation
- One-generator braces and indecomposable set-theoretic solutions to the Yang–Baxter equation
- Primitive set-theoretic solutions of the Yang–Baxter equation
- Decomposition Theorems for Involutive Solutions to the Yang–Baxter Equation
- Uniconnected solutions to the Yang–Baxter equation arising from self-maps of groups
- On the indecomposable involutive set-theoretic solutions of the Yang-Baxter equation of prime-power size
- Asymmetric product of left braces and simplicity; new solutions of the Yang–Baxter equation
- A Criterion for Decomposabilty in QYBE
- Classification of Uniconnected Involutive Solutions of the Yang–Baxter Equation With Odd Size and a Z-Group Permutation Group
This page was built for publication: Involutive Yang-Baxter: cabling, decomposability, and Dehornoy class