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  1. Home > Articles & Issues >
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  3. The # product in com ...
Conference paper

The # product in combinatorial Hopf algebras

Jean-Christophe Aval, Jean-Christophe Novelli, Jean-Yves Thibon
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Imported on
January 31, 2017
Published on
December 31, 2010
Last modified on
March 31, 2025
Volume
DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
Proceedings
DOI
10.46298/dmtcs.2892
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860
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506
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The # product in combinatorial Hopf algebras

Jean-Christophe Aval, Jean-Christophe Novelli, Jean-Yves Thibon
Abstract
English
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.
French
Nous montrons que le produit # introduit par Aval et Viennot (2008) est défini au niveau de l'algèbre associative libre, et peut être étendu à la plupart des algèbres de Hopf combinatoires classiques.
Keywords
  • [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • combinatorial Hopf algebras
  • # product
  • binary trees
  • permutations
  • Young tableaux
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