Construction de trigèbres dendriformes

Jean-Christophe Novelli; Jean-Yves Thibon

doi:10.1016/j.crma.2006.01.009

Algèbre/Combinatoire

Construction de trigèbres dendriformes
[Construction of dendriform trialgebras]

Presented by: Alain Connes

Jean-Christophe Novelli ¹; Jean-Yves Thibon ¹

¹ Institut Gaspard-Monge, université de Marne-la-Vallée, 77454 Marne-la-Vallée cedex 2, France

Comptes Rendus. Mathématique, Volume 342 (2006) no. 6, pp. 365-369.

Abstract
Résumé

We realize the free dendriform trialgebra on one generator, as well as several other examples of dendriform trialgebras, as sub-trialgebras of an algebra of noncommutative polynomials in infinitely many variables.

Nous réalisons la trigèbre dendriforme libre sur un générateur, et plusieurs autres exemples de trigèbres dendriformes, comme sous-trigèbres d'une algèbre de polynômes non commutatifs en une infinité de variables.

Received: 2005-10-11
Accepted: 2006-01-11
Published online: 2006-02-03

DOI: 10.1016/j.crma.2006.01.009

Author's affiliations:

Jean-Christophe Novelli ¹; Jean-Yves Thibon ¹

¹ Institut Gaspard-Monge, université de Marne-la-Vallée, 77454 Marne-la-Vallée cedex 2, France

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     title = {Construction de trig\`ebres dendriformes},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {365--369},
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     volume = {342},
     number = {6},
     year = {2006},
     doi = {10.1016/j.crma.2006.01.009},
     language = {fr},
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Jean-Christophe Novelli; Jean-Yves Thibon. Construction de trigèbres dendriformes. Comptes Rendus. Mathématique, Volume 342 (2006) no. 6, pp. 365-369. doi : 10.1016/j.crma.2006.01.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.01.009/

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