Combinatorial solutions to the reflection equation
arXiv:1810.03341 · doi:10.1016/j.jalgebra.2019.12.012
Abstract
We use ring-theoretic methods and methods from the theory of skew braces to produce set-theoretic solutions to the reflection equation. We also use set-theoretic solutions to construct solutions to the parameter-dependent reflection equation.
arXiv comment20 pages. Final version
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Cited by in corpus (7)
- Set theoretic Yang-Baxter & reflection equations and quantum group symmetries
- Boundary from bulk integrability in three dimensions: 3D reflection maps from tetrahedron maps
- Reflection equation as a tool for studying solutions to the Yang-Baxter equation
- Reflections to set-theoretic solutions of the Yang-Baxter equation
- New Solutions to the Reflection Equation with Braces
- Reflection Maps Associated with Involutions and Factorization Problems, and Their Poisson Geometry
- Algebraic structures in set-theoretic Yang-Baxter & reflection equations