Un theoreme de Cartier-Milnor-Moore-Quillen pour les bigebres dendriformes et les algebres braces
Abstract
Description
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 category of brace algebras. This equivalence is given by the functors "subspace of primitive elements" and "universal enveloping dendriform algebra".
LaTeX, 23 pages, 2 figures, error in def. of unitary dendriform algebras corrected, other minor changes and one figure added
LaTeX, 23 pages, 2 figures, error in def. of unitary dendriform algebras corrected, other minor changes and one figure added