11 citations
- Institute of Rural Management AnandIN3 papers
- Centre National de la Recherche ScientifiqueFR1 paper
- Christian-Albrechts-Universität zu KielDE1 paper
- Institut Montpelliérain Alexander GrothendieckFR1 paper
- Laboratoire de Mathématiques Blaise PascalFR1 paper
- Laboratoire de Mathématiques d'OrsayFR1 paper
- Laboratoire de Physique ThéoriqueFR1 paper
- North Carolina State UniversityUS1 paper
- Roma Tre UniversityIT1 paper
- Steklov Mathematical InstituteRU1 paper
- Université de LilleFR1 paper
- University of GeorgiaUS1 paper
5 papers · 1 filter
On the Drinfeld generators of grt_1(k) and Gamma-functions for associators
B. Enriquez
We prove that the Drinfeld generators of grt_1(k) span the image of this Lie algebra in the abelianization of the commutator of the free Lie algebra with two generators. We show th…
Coalgebras of words and phrases
Vladimir Turaev
We introduce two constructions of a coassociative comultiplication in the algebra of phrases in a given alphabet. As a preliminary step we give two constructions of a pre-Lie comul…
Dualite de Koszul des PROPs
Bruno Vallette
In this thesis, we generalize the Koszul duality for associative algebras and operads to PROPs. The operads are algebraic objects that represent the operations with multiple inputs…
On the structure of cofree Hopf algebras
Jean-Louis Loday, Maria Ronco
We prove an analogue of the Poincare'-Birkhoff-Witt theorem and of the Cartier-Milnor-Moore theorem for non-cocommutative Hopf algebras. The primitive part of a cofree Hopf algebra…
Scindement d'associativite et algebres de Hopf
Jean-Louis Loday
We show that some associative algebras whose product splits up into the sum of several operations and are free, in a certain sense, with respect to these operations, admit a Hopf a…