Algèbres de Hopf colibres |
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| Authors: | Jean-Louis Loday Marı́a Ronco |
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| Institution: | 1. Institut de recherche mathématique avancée, CNRS et Université Louis Pasteur, 7, rue R. Descartes, 67084 Strasbourg cedex, France;2. Departamento de Matemática Ciclo Básico Común, Universidad de Buenos Aires Pab. 3 Ciudad Universitaria Nuñez, (1428) Buenos-Aires, Argentine |
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| Abstract: | We prove a structure theorem for the cofree Hopf algebras: such a Hopf algebra is the universal enveloping dipterous algebra of its primitive part. A dipterous algebra is an associative algebra equipped with a structure of left module over itself. This theorem is a consequence of an analogue, in the non-cocommutative framework, of the Poincaré–Birkhoff–Witt theorem and of the Milnor–Moore theorem. To cite this article: J.-L. Loday, M. Ronco, C. R. Acad. Sci. Paris, Ser. I 337 (2003). |
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