Ennea-algebras
arXiv:math/0309213
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.
30 pages