Aval, Jean-Christophe and Novelli, Jean-Christophe and Thibon, Jean-Yves - 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)
The # product in combinatorial Hopf algebras

Authors: Aval, Jean-Christophe and Novelli, Jean-Christophe and Thibon, Jean-Yves

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.


Volume: DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
Section: Proceedings
Published on: January 1, 2011
Submitted on: January 31, 2017
Keywords: 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]


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