Factorizations of skew braces
From MaRDI portal
Publication:2332940
DOI10.1007/s00208-019-01909-1zbMath1446.16040arXiv1905.05886OpenAlexW2946777372WikidataQ114231124 ScholiaQ114231124MaRDI QIDQ2332940
Leandro Vendramin, Arne van Antwerpen, Eric Jespers, Łukasz Kubat
Publication date: 5 November 2019
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.05886
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Yang-Baxter equations (16T25)
Related Items
Nilpotency in left semi-braces ⋮ Triply factorised groups and the structure of skew left braces ⋮ Set-theoretic solutions of the Yang-Baxter equation associated to weak braces ⋮ Algebraic approach to Rump’s results on relations between braces and pre-lie algebras ⋮ Some group-theoretical approaches to skew left braces ⋮ Inverse semi-braces and the Yang-Baxter equation ⋮ Affine structures of decomposable solvable groups ⋮ On various types of nilpotency of the structure monoid and group of a set-theoretic solution of the Yang-Baxter equation ⋮ Left non-degenerate set-theoretic solutions of the Yang–Baxter equation and dynamical extensions of q-cycle sets ⋮ Semi-affine structures on groups and semi-braces ⋮ Module braces: relations between the additive and the multiplicative groups ⋮ Nilpotency of skew braces and multipermutation solutions of the Yang–Baxter equation ⋮ A generalization of Ito's theorem to skew braces ⋮ The algebraic structure of left semi-trusses ⋮ Schur covers of skew braces ⋮ From braces to Hecke algebras and quantum groups ⋮ Near braces and p$p$‐deformed braided groups ⋮ Post-groups, (Lie-)Butcher groups and the Yang-Baxter equation ⋮ Set-theoretic Yang-Baxter \& reflection equations and quantum group symmetries ⋮ Finite skew braces with solvable additive group ⋮ Radical and weight of skew braces and their applications to structure groups of solutions of the Yang-Baxter equation ⋮ Rota-Baxter groups, skew left braces, and the Yang-Baxter equation ⋮ On the passage from finite braces to pre-Lie rings
Cites Work
- Unnamed Item
- On the Yang-Baxter equation and left nilpotent left braces
- Multipermutation solutions of the Yang-Baxter equation
- Über Produkte von nilpotenten Gruppen
- Produkte nilpotenter Gruppen
- Monoids and groups of I-type.
- Braces, radical rings, and the quatum Yang-Baxter equation.
- Retractability of set theoretic solutions of the Yang-Baxter equation
- Classical solutions of the quantum Yang-Baxter equation
- A characterization of finite multipermutation solutions of the Yang-Baxter equation
- Skew braces and the Galois correspondence for Hopf Galois structures
- Extensions, matched products, and simple braces
- Set-theoretic solutions of the Yang-Baxter equation, braces and symmetric groups
- Set-theoretical solutions to the quantum Yang-Baxter equation
- An abundance of simple left braces with abelian multiplicative Sylow subgroups
- On skew braces (with an appendix by N. Byott and L. Vendramin)
- Braces and the Yang-Baxter equation
- Über das Produkt von zwei abelschen Gruppen
- Skew braces and the Yang–Baxter equation
- On Engel groups, nilpotent groups, rings, braces and the Yang-Baxter equation
- Solutions of the Yang–Baxter equation associated to skew left braces, with applications to racks
- Left Braces and the Quantum Yang–Baxter Equation
- Iterated matched products of finite braces and simplicity; new solutions of the Yang-Baxter equation
- Left Braces: Solutions of the Yang-Baxter Equation
- Skew left braces of nilpotent type
- Left orders in Garside groups
- Endliche Gruppen I