The # product in combinatorial Hopf algebras

Abstract

We show that the # product of binary trees introduced by Aval and Viennot [arXiv:0912.0798] is in fact defined at the level of the free associative algebra, and can be extended to most of the classical combinatorial Hopf algebras.

20 pages

References in corpus (3)

• Polynomial realizations of some trialgebras
• The product of trees in the Loday-Ronco algebra through Catalan alternative tableaux
• Some dendriform functors