Un theoreme de Cartier-Milnor-Moore-Quillen pour les bigebres dendriformes et les algebres braces

Details Un theoreme de Cartier-Milnor-Moore-Quillen pour les bigebres dendriformes et les algebres braces Un theoreme de Cartier-Milnor-Moore-Quillen pour les bigebres dendriformes et les algebres braces

2000-05-25

arxiv.org/abs/math/0005253v2

Mathematics

Quantum Algebra

LaTeX, 23 pages, 2 figures, error in def. of unitary dendriform algebras corrected, other minor changes and one figure added

Scientific paper

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".

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