The classification of nondegenerate uniconnected cycle sets
From MaRDI portal
Publication:6045500
DOI10.2140/pjm.2023.323.205zbMath1515.05210OpenAlexW4381283009MaRDI QIDQ6045500
Publication date: 31 May 2023
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.2023.323.205
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Yang-Baxter equations (16T25) Group actions on combinatorial structures (05E18)
Cites Work
- Unnamed Item
- Unnamed Item
- Regular subgroups of the affine group and asymmetric product of radical braces.
- Classification of indecomposable involutive set-theoretic solutions to the Yang-Baxter equation
- Braces, radical rings, and the quatum Yang-Baxter equation.
- Classification of cyclic braces.
- Retractability of set theoretic solutions of the Yang-Baxter equation
- Classical solutions of the quantum Yang-Baxter equation
- Semigroups of \(I\)-type
- A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation
- Homological properties of Sklyanin algebras
- Set-theoretical solutions to the quantum Yang-Baxter equation
- Construction of finite braces
- Triality and Lie algebras of type \(D_4\)
- Partition function of the eight-vertex lattice model
- Abelian Hopf Galois structures on prime-power Galois field extensions
- Hopf braces and Yang-Baxter operators
- Skew braces and the Yang–Baxter equation
- Involutive Yang-Baxter groups
- REGULAR SUBGROUPS OF THE AFFINE GROUP AND RADICAL CIRCLE ALGEBRAS
- On some unsolved problems in quantum group theory
- Fixed-point free endomorphisms and Hopf Galois structures
- One-generator braces and indecomposable set-theoretic solutions to the Yang–Baxter equation
- Uniconnected solutions to the Yang–Baxter equation arising from self-maps of groups
- Cocyclic braces and indecomposable cocyclic solutions of the Yang-Baxter equation
- Cocyclic solutions to the Yang-Baxter equation
- ON REGULAR SUBGROUPS OF THE AFFINE GROUP
- Classification of cyclic braces, II
- Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
- Indecomposable set-theoretical solutions to the quantum Yang-Baxter equation on a set with a prime number of elements
This page was built for publication: The classification of nondegenerate uniconnected cycle sets