118 citations · 330 across the 37 of their papers we have counts for
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math.RA2020
A new formula for Lazard's correspondence for finite braces and pre-Lie algebras
Agata Smoktunowicz
In this paper a simple algebraic formula is obtained for the correspondence between finite right nilpotent Fp-braces and finite nilpotent pre-Lie algebras. This correspondence agre…
math.RA2020★ 6 cited
Algebraic approach to Rump's results on relations between braces and pre-Lie algebras
Agata Smoktunowicz
In 2014, Wolfgang Rump showed that there exists a correspondence between left nilpotent right R-braces and pre-Lie algebras. This correspondence, established using a geometric appr…
math-ph2020★ 34 cited
Set theoretic Yang-Baxter & reflection equations and quantum group symmetries
Anastasia Doikou, Agata Smoktunowicz
Connections between set-theoretic Yang-Baxter and reflection equations and quantum integrable systems are investigated. We show that set-theoretic -matrices are expressed as twi…