Un théorème de Cartier-Milnor-Moore-Quillen pour les bigèbres dendriformes et les algèbres braces |
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Authors: | Frédéric Chapoton |
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Institution: | Institut de Mathématiques, Équipe Analyse algébrique, case 82, Université Pierre et Marie Curie, 4, Place Jussieu, 75252 Paris Cedex 05, France |
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Abstract: | The classical theorem of Cartier-Milnor-Moore-Quillen gives an equivalence between the category of connected cocommutative bialgebras and the category of Lie algebras. We establish an analogous equivalence between the category of connected dendriform bialegebras and the category of brace algebras. It is given by the primitive elements functor and the “enveloping dendriform algebra” of a brace algebra. |
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Keywords: | 18D50 16W30 17B35 |
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