most citedQuandles as pre-Lie skew braces, set-theoretic Hopf algebras & universal R-matrices

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math.QA2025

Combinatorial twists in gl_n Yangians

Anastasia Doikou

We introduce the special set-theoretic Yang-Baxter algebra and show that it is a Hopf algebra subject to certain conditions. The associated universal R-matrix is also obtained via…

math.QA2024★ 6 cited

Quandles as pre-Lie skew braces, set-theoretic Hopf algebras & universal R-matrices

Anastasia Doikou, Bernard Rybolowicz, Paola Stefanelli

We present connections between left non-degenerate solutions of the set-theoretic braid equation and left shelves using Drinfel'd homomorphisms. We generalize the notion of affine…