The # product in combinatorial Hopf algebras

We show that the # product of binary trees introduced by Aval and Viennot (2008) is in fact defined at the level of the free associative algebra, and can be extended to most of the classical combinatorial Hopf algebras.

Bibliographic Details
Published in:	Discrete Mathematics & Theoretical Computer Science
Main Authors:	Jean-Christophe Aval, Jean-Christophe Novelli, Jean-Yves Thibon
Format:	Article
Language:	English
Published:	Discrete Mathematics & Theoretical Computer Science 2011-01-01
Subjects:	combinatorial hopf algebras # product binary trees permutations young tableaux [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
Online Access:	https://dmtcs.episciences.org/2892/pdf

Description
Summary:	We show that the # product of binary trees introduced by Aval and Viennot (2008) is in fact defined at the level of the free associative algebra, and can be extended to most of the classical combinatorial Hopf algebras.
ISSN:	1365-8050