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arxiv: math/0402084 · v1 · submitted 2004-02-05 · 🧮 math.QA · math.KT

Scindement d'associativite et algebres de Hopf

classification 🧮 math.QA math.KT
keywords algebrashopfoperationsadmitalgebraalgebresassociativeassociativite
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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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