output
20152022
most citedRota-Baxter groups, skew left braces, and the Yang-Baxter equation

51 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2021 · math.GRShow all

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math.GR2021★ 25 cited

Rota-Baxter operators on groups

Valeriy G. Bardakov, Vsevolod Gubarev

Theory of Rota-Baxter operators on rings and algebras has been developed since 1960. Recently, L. Guo, H. Lang, Y. Sheng [arXiv:2009.03492] have defined the notion of Rota-Baxter o…

math.GR2021★ 51 cited

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

Valeriy G. Bardakov, Vsevolod Gubarev

Braces were introduced by W. Rump in 2006 as an algebraic system related to the quantum Yang-Baxter equation. In 2017, L. Guarnieri and L. Vendramin defined for the same purposes a…