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math.COOct 11, 2005
17
citations (OpenAlex)
authors
  • Jean-Christophe Novelli
  • Jean-Yves Thibon
institutions
  • Laboratoire d'Informatique Gaspard-Monge
  • Université Paris-Est Marne-la-Vallée
arXiv abstractPDF
paper

Construction of dendriform trialgebras

arXiv:math/0510218

Abstract

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.

In French, abridged English version

Cited by in corpus (8)

  • Polynomial realizations of some trialgebras
  • Hopf Algebras of m-permutations, (m+1)-ary trees, and m-parking functions
  • A lattice of combinatorial Hopf algebras, Application to binary trees with multiplicities
  • Free quasi-symmetric functions and descent algebras for wreath products, and noncommutative multi-symmetric functions
  • Commutative and non-commutative bialgebras of quasi-posets and applications to Ehrhart polynomials
  • Twisted bialgebras, cofreeness and cointeraction
  • Combinatorial Hopf algebras, noncommutative Hall-Littlewood functions, and permutation tableaux
  • Free algebraic structures on the permutohedra
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