Algebraic approach to Rump’s results on relations between braces and pre-lie algebras

DOI10.1142/S0219498822500542zbMath1505.16048arXiv2007.09403OpenAlexW3096762543WikidataQ115245579 ScholiaQ115245579MaRDI QIDQ5062328

Agata Smoktunowicz

Publication date: 15 March 2022

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

Full work available at URL: https://arxiv.org/abs/2007.09403

zbMATH Keywords

nilpotent bracesnilpotent pre-Lie algebras

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Yang-Baxter equations (16T25) Lie-admissible algebras (17D25)

Related Items (7)

Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and semitrusses ⋮ Module braces: relations between the additive and the multiplicative groups ⋮ Free post-groups, post-groups from group actions, and post-Lie algebras ⋮ Isoclinism of skew braces ⋮ Post-groups, (Lie-)Butcher groups and the Yang-Baxter equation ⋮ On the passage from finite braces to pre-Lie rings ⋮ Some braces of cardinality \(p^4\) and related Hopf-Galois extensions

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