Free dendriform dialgebras: reformulation and application in free probability. Part I

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We propose a reformulation of some results known on the free dendriform dialgebra on one generator from a parenthesis point of view. This turns out to be more tractable and point out a connection to free probability by identifying noncrossing partitions with binary trees and by introducing the concept of NCP-operad.
21 pages, 4 figures

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Combinatorics, Quantum Algebra, 05C05; 06A07; 11A99; 46L54

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http://salesiana.dossiersoluciones.com/handle/123456789/72282

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0408348
 http://arxiv.org/abs/math/0408348

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arXiv