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- W3004351010 abstract "We realize several combinatorial Hopf algebras based on set compositions, plane trees and segmented compositions in terms of noncommutative polynomials in infinitely many variables. For each of them, we describe a trialgebra structure, an internal product, and several bases. Resume. Nous realisons plusieurs algebres de Hopf combinatoires dont les bases sont indexees par les partitions d’ensembles ordonnees, les arbres plans et les compositions segmentees en termes de polynomes non-commutatifs en une infinite de variables. Pour chacune d’elles, nous decrivons sa structure de trigebre, un produit interieur et plusieurs bases." @default.
- W3004351010 created "2020-02-07" @default.
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- W3004351010 date "2006-01-01" @default.
- W3004351010 modified "2023-10-18" @default.
- W3004351010 title "Polynomial realizations of some trialgebras" @default.
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