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math.RA2026
On set-theoretic solutions of pentagon equation and positive basis Hopf algebras
Ilaria Colazzo, Geoffrey Janssens
We investigate the connection between bijective, not necessarily finite, set-theoretic solutions of the pentagon equation and Hopf algebras. Firstly, we prove that finite solutions…
math.RA2020
Set-theoretic solutions of the Pentagon Equation
Ilaria Colazzo, Eric Jespers, Lukasz Kubat
A set-theoretic solution of the Pentagon Equation on a non-empty set is a map such that , where $s_{12}=s\times\mathrm{id}…