2003/09/12 by Philippe Leroux, Leroux, Philippe
Computer Science · Mathematics · #Advanced Algebra and Logic #Computability, Logic, AI Algorithms #Mathematical and Theoretical Analysis #math.CO #math.QA #msc:17A30 #msc:18D50
paper · pdf · doi:10.48550/arxiv.math/0309213
30 pages
arxiv created 2003/11/09 · arxiv updated 2009/12/01
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.