English

The # product in combinatorial Hopf algebras

Combinatorics 2011-09-22 v2

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.

Cite

@article{arxiv.1007.1901,
  title  = {The # product in combinatorial Hopf algebras},
  author = {Jean-Christophe Aval and Jean-Christophe Novelli and Jean-Yves Thibon},
  journal= {arXiv preprint arXiv:1007.1901},
  year   = {2011}
}

Comments

20 pages

R2 v1 2026-06-21T15:47:05.325Z