287 citations · 1.4k across the 60 of their papers we have counts for
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math.QA2016★ 10 cited
Yang-Baxter operators in symmetric categories
J. A. Guccione, J. J. Guccione, L. Vendramin
We introduce non-degenerate solutions of the Yang-Baxter equation in the setting of symmetric monoidal categories. Our theory includes non-degenerate set-theoretical solutions as b…
math.QA2016★ 57 cited
Hopf braces and Yang-Baxter operators
I. Angiono, C. Galindo, L. Vendramin
This paper introduces Hopf braces, a new algebraic structure related to the Yang-Baxter equation which include Rump's braces and their non-commutative generalizations as particular…
math.GR2016★ 30 cited
Cohomology and extensions of braces
V. Lebed, L. Vendramin
Braces and linear cycle sets are algebraic structures playing a major role in the classification of involutive set-theoretic solutions to the Yang-Baxter equation. This paper intro…