
arXiv: 1007.1901
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. 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.
combinatorial hopf algebras, young tableaux, combinatorial Hopf algebras, permutations, [info.info-dm] computer science [cs]/discrete mathematics [cs.dm], Young tableaux, # product, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], QA1-939, binary trees, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Mathematics, [math.math-co] mathematics [math]/combinatorics [math.co]
combinatorial hopf algebras, young tableaux, combinatorial Hopf algebras, permutations, [info.info-dm] computer science [cs]/discrete mathematics [cs.dm], Young tableaux, # product, [MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO], [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], QA1-939, binary trees, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Mathematics, [math.math-co] mathematics [math]/combinatorics [math.co]
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