3 citations · 5 across the 2 of their papers we have counts for
3 papers
math.CO2022★ 2 cited
On the Hopf algebra of noncommutative symmetric functions in superspace
Diego Arcis, Camilo González, Sebastián Márquez
We study in detail the Hopf algebra of noncommutative symmetric functions in superspace sNSym, introduced by Fishel, Lapointe and Pinto. We introduce a family of primitive elements…
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.RA2017
Compatible associative bialgebras
Sebastián Márquez
We introduce a non-symmetric operad , whose dimension in degree is given by the Catalan number . It arises naturally in the study of coalgebra structures…