Polynomial realizations of some trialgebras

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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.
12 pages, LaTEX, to be presented at FPSAC'06

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Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/112630

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605061
 http://arxiv.org/abs/math/0605061

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arXiv