6 citations · 10 across the 5 of their papers we have counts for
5 papers
On the structure of cofree Hopf algebras
Jean-Louis Loday, Maria Ronco
We prove an analogue of the Poincare'-Birkhoff-Witt theorem and of the Cartier-Milnor-Moore theorem for non-cocommutative Hopf algebras. The primitive part of a cofree Hopf algebra…
Inversion of integral series enumerating planar trees
Jean-Louis Loday
We consider an integral series f(X,t) which depends on the choice of a set X of labelled planar rooted trees. We prove that its inverse for composition is of the form f(Z,t) for an…
Quadri-algebras
Marcelo Aguiar, Jean-Louis Loday
We introduce the notion of quadri-algebras. These are associative algebras for which the multiplication can be decomposed as the sum of four operations in a certain coherent manner…
Parametrized braid groups of Chevalley groups
Jean-Louis Loday, Michael R. Stein
We introduce the notion of a braid group parametrized by a ring, which is defined by generators and relations and based on the geometric idea of painted braids. We show that the pa…
Realization of the Stasheff polytope
Jean-Louis Loday
We propose a simple formula for the coordinates of the vertices of the Stasheff polytope (associahedron) and we compare it to the permutohedron.