23 citations · 40 across the 13 of their papers we have counts for
13 papers
Hochschild two-cocycles and the good triple
Leroux Philippe
Hochschild two-cocycles play an important role in the deformation à la Gerstenhaber of associative algebras. The aim of this paper is to introduce the category of Hoch-algebras who…
Infinitesimal or cocommutative dipterous bialgebras and good triples of operads
Leroux Philippe
The works of Poincare, Birkhoff, Witt and Cartier, Milnor, Moore on the connected cocommutative Hopf algebras translated in the language of operads means that the triple of operads…
A rigidity theorem for Moor-bialgebras
Leroux Philippe
We introduce the operad Moor, dual of the operad NAP and the notion of Moor-bialgebras. We warn the reader that the compatibility relation linking the Moor-operation with the Moor-…
Comment on the article arXiv 0710.0349 by Chapoton et al. titled ``An operational calculus for the Mould operad''
Leroux Philippe
This paper has been withdrawn.
L-algebras, triplicial-algebras, within an equivalence of categories motivated by graphs
Leroux Philippe
In a previous work, we gave a coalgebraic framework of directed graphs equipped with weights (or probability vectors) in terms of (Markov) L-coalgebras. They are K-vector spaces eq…
A simple symmetry generating operads related to rooted planar -ary trees and polygonal numbers
Leroux Philippe
The aim of this paper is to further explore an idea from J.-L. Loday briefly exposed in [5]. We impose a natural and simple symmetry on a unit action over the most general quadrati…