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Ennea-algebras

Philippe Leroux
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Abstract

We propose a generalisation of a recent work of M. Aguiar and J.-L. Loday on Quadri-algebras, called Ennea-algebras. In this second version, this paper has been extended. We show that the augmented free Ennea-algebra is a connected Hopf algebra and construct explicit formal deformations of dendriform dialgebras, quari-algebras and ennea-algebras via Baxter operators.

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Philippe Leroux. 2003-11-09. Ennea-algebras. https://arxiv.org/abs/math/0309213

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