Polynomial realizations of some trialgebras
Combinatorics
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0605061,
title = {Polynomial realizations of some trialgebras},
author = {J. -C. Novelli and J. -Y. Thibon},
journal= {arXiv preprint arXiv:math/0605061},
year = {2007}
}
Comments
12 pages, LaTEX, to be presented at FPSAC'06