Jean-Christophe Aval ; Jean-Christophe Novelli ; Jean-Yves Thibon
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The # product in combinatorial Hopf algebras
dmtcs:2892 -
Discrete Mathematics & Theoretical Computer Science,
January 1, 2011,
DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
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https://doi.org/10.46298/dmtcs.2892
The # product in combinatorial Hopf algebrasArticle
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.