The # product in combinatorial Hopf algebras

2010/07/12 by Jean-Christophe Aval, Aval, Jean-Christophe, Jean-Christophe Novelli +3
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.1007.1901

20 pages

arxiv created 2011/09/21 · arxiv updated 2011/09/22

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.

Citations

• The product of trees in the Loday-Ronco algebra through Catalan alternative tableaux

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