Rota-Baxter groups, skew left braces, and the Yang-Baxter equation

DOI10.1016/j.jalgebra.2021.12.036zbMath1492.17019arXiv2105.00428OpenAlexW4205495576MaRDI QIDQ2075248

Valeriy G. Bardakov, Vsevolod Yur'evich Gubarev

Publication date: 14 February 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.00428

zbMATH Keywords

Yang-Baxter equationRota-Baxter operatorskew braceRota-Baxter group

Mathematics Subject Classification ID

Yang-Baxter equations (16T25) Yang-Baxter equations and Rota-Baxter operators (17B38)

Related Items

Brace blocks from bilinear maps and liftings of endomorphisms, Symmetric skew braces and brace systems, Extensions and automorphisms of Rota-Baxter groups, Skew braces from Rota-Baxter operators: a cohomological characterisation and some examples, Central nilpotency of skew braces, Operated groups, differential groups and Rota-Baxter groups with an emphasis on the free objects, Free weighted (modified) differential algebras, free (modified) Rota–Baxter algebras and Gröbner–Shirshov bases, Post-Hopf algebras, relative Rota-Baxter operators and solutions to the Yang-Baxter equation, Post-groups, (Lie-)Butcher groups and the Yang-Baxter equation, Rota-Baxter operators on groups, Lie theory and cohomology of relative Rota–Baxter operators, Rota-Baxter operators on Clifford semigroups and the Yang-Baxter equation, Rota-Baxter systems and skew trusses, Factorizable Lie bialgebras, quadratic Rota-Baxter Lie algebras and Rota-Baxter Lie bialgebras

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