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math.QA2001
Operades differentielles graduees sur les simplexes et les permutoedres
Frederic Chapoton
We define several differential graded operads, some of them being related to families of polytopes : simplices and permutohedra. We also obtain a presentation by generators and rel…
math.QA2000
Un theoreme de Cartier-Milnor-Moore-Quillen pour les bigebres dendriformes et les algebres braces
Frederic Chapoton
We define an equivalence of categories, quite similar to the classical Cartier-Milnor-Moore-Quillen theorem, between the category of connected dendriform bialgebras and the categor…