Ennea-algebras 1
نویسنده
چکیده
A generalisation of a recent work of M. Aguiar and J.-L. Loday on quadri-algebras called tennea-algebras constructed over dendriform trialgebras is proposed. Such algebras allow the construction of nested dendriform trialgebras and are related to pre-Lie algebras, t-infinitesimal bialgebras and tBaxter operators. We also show that the augmented free t-ennea-algebra has a structure of connected Hopf algebra. In the last part, we use Baxter operators to produce formal deformations of dendriform algebras, quadri-algebras and ennea-algebras. Examples and relations of this work to combinatorial objects are given.
منابع مشابه
On the Type and Type Product of Dendriform Algebras
We describe a general framework to define dendriform algebras and a general construction to obtain new dendriform algebra structures from known structures and from linear operators. The construction includes recent constructions of the quadri-algebra, the ennea-algebras, the dendriformNijenhuis algebras and the octo-algebras.
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