55 citations · 113 across the 8 of their papers we have counts for
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math.QA2008★ 55 cited
Combinatorial Hopf algebras
Jean-Louis Loday, Maria O. Ronco
We define a "combinatorial Hopf algebra" as a Hopf algebra which is free (or cofree) and equipped with a given isomorphism to the free algebra over the indecomposables (resp. the c…
math.QA2004★ 6 cited
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…
math.QA2001★ 7 cited
A duality between standard simplices and Stasheff polytopes
Jean-Louis Loday, Maria O. Ronco
We show that the family of chain modules over the standard simplices can be equipped with an operad structure. Similarly, the family of cochain modules of the Stasheff polytopes ca…