Dynamical groups and braces

DOI10.1142/S0219498816501358zbMath1395.16041MaRDI QIDQ2816899

Wolfgang Rump

Publication date: 26 August 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Yang-Baxter equationbracecycle setdynamical groupright loop

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Loops, quasigroups (20N05) Sets with a single binary operation (groupoids) (20N02) Other nonassociative rings and algebras (17D99) Yang-Baxter equations (16T25)

Related Items

Quiver-theoretical approach to dynamical Yang-Baxter maps ⋮ Set-theoretical solutions to the Hom-Yang-Baxter equation and Hom-cycle sets ⋮ Trusses: Between braces and rings

Cites Work

• Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova.
• A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation
• SET-THEORETIC YANG–BAXTER SOLUTIONS VIA FOX CALCULUS
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