Ennea-algebras
Quantum Algebra
2007-05-23 v2 Combinatorics
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.
Cite
@article{arxiv.math/0309213,
title = {Ennea-algebras},
author = {Philippe Leroux},
journal= {arXiv preprint arXiv:math/0309213},
year = {2007}
}
Comments
30 pages