Ennea-algebras

Details Ennea-algebras Ennea-algebras

2003-09-12

arxiv.org/abs/math/0309213v2

Mathematics

Quantum Algebra

30 pages

Scientific paper

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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