55 citations · 113 across the 8 of their papers we have counts for
Showing math.COShow all
3 papers · 1 filter
math.CO2007
Shuffle bialgebras
Maria Ronco
The goal of our work is to study the spaces of primitive elements of the Hopf algebras associated to the permutaedra and the associaedra. We introduce the notion of shuffle and pre…
math.CO2004★ 8 cited
Weak Bruhat order on the set of faces of the permutahedra
Patricia Palacios, Maria Ronco
We extend the weak Bruhat order of a finite Coxeter group to the set of its coclasses, modulo parabolic standard subgroups. We use this order to describe associative algebra struct…
math.CO2001★ 17 cited
Order structure on the algebra of permutations and of planar binary trees
Jean-Louis Loday, Maria O. Ronco
In "Hopf algebra of the planar binary trees", Adv. Math. 139 (1998), no. 2, 293--309, we constructed by induction a graded associative product on the vector space generated by the…