Cocyclic braces and indecomposable cocyclic solutions of the Yang-Baxter equation

DOI10.1090/proc/15962OpenAlexW3185245703MaRDI QIDQ5096650

Agata Pilitowska, Anna Zamojska-Dzienio, Přemysl Jedlička

Publication date: 18 August 2022

Full work available at URL: https://arxiv.org/abs/2107.12319

zbMATH Keywords

Yang-Baxter equationcocyclic braceindecomposable set-theoretic solution

Mathematics Subject Classification ID

Finite nilpotent groups, (p)-groups (20D15) Subgroups of symmetric groups (20B35) Yang-Baxter equations (16T25)

Related Items (4)

The classification of nondegenerate uniconnected cycle sets ⋮ A characterization of finite simple set-theoretic solutions of the Yang-Baxter equation ⋮ Indecomposable solutions of the Yang-Baxter equation of square-free cardinality ⋮ Indecomposable involutive solutions of the Yang-Baxter equation of multipermutation level 2 with non-abelian permutation group

Cites Work

• Unnamed Item
• Unnamed Item
• On the Yang-Baxter equation and left nilpotent left 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.
• Braces and symmetric groups with special conditions
• 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
• Indecomposable involutive solutions of the Yang-Baxter equation of multipermutational level 2 with abelian permutation group
• Indecomposable involutive set-theoretic solutions of the Yang-Baxter equation and orthogonal dynamical extensions of cycle sets
• Braces and the Yang-Baxter equation
• Solutions of the Yang-Baxter equation associated with a left brace.
• Skew braces and the Yang–Baxter equation
• INTRODUCTION TO THE YANG-BAXTER EQUATION
• On some unsolved problems in quantum group theory
• On Engel groups, nilpotent groups, rings, braces and the Yang-Baxter equation
• Skew left braces of nilpotent type
• On the indecomposable involutive set-theoretic solutions of the Yang-Baxter equation of prime-power size
• Cocyclic solutions to the Yang-Baxter equation
• Problems on skew left braces

This page was built for publication: Cocyclic braces and indecomposable cocyclic solutions of the Yang-Baxter equation