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math.RT2020★ 3 cited
Hopf algebras on planar trees and permutations
Diego Arcis, Sebastián Márquez
We endow the space of rooted planar trees with an structure of Hopf algebra. We prove that variations of such a structure lead to Hopf algebras on the spaces of labelled trees, …
math.RT2020★ 5 cited
Tied Monoids
Diego Arcis, Jesús Juyumaya
We construct certain monoids, called tied monoids. These monoids result to be semidirect products finitely presented and commonly built from braid groups and their relatives acting…