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Scindement d'associativite et algebres de Hopf

Jean-Louis Loday
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Abstract

We show that some associative algebras whose product splits up into the sum of several operations and are free, in a certain sense, with respect to these operations, admit a Hopf algebra structure. We show that the operad of dendriform algebras play a crucial role in this context, and we give numerous examples.

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Jean-Louis Loday. 2004-02-05. Scindement d'associativite et algebres de Hopf. https://arxiv.org/abs/math/0402084

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