La construction bar d'une algèbre comme algèbre de Hopf E-infini |
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Authors: | Benoit Fresse |
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Affiliation: | Laboratoire J.A. Dieudonné, Université de Nice-Sophia-Antipolis, Parc Valrose, 06108 Nice cedex 02, France |
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Abstract: | We prove that the bar construction of an E∞ algebra forms an E∞ algebra. To be more precise, we provide the bar construction of an algebra over the surjection operad with the structure of a Hopf algebra over the Barratt–Eccles operad. (The surjection operad and the Barratt–Eccles operad are classical E∞ operads.) To cite this article: B. Fresse, C. R. Acad. Sci. Paris, Ser. I 337 (2003). |
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