Polynomial realizations of some trialgebras

Details Polynomial realizations of some trialgebras Polynomial realizations of some trialgebras

2006-05-02

arxiv.org/abs/math/0605061v1

Mathematics

Combinatorics

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

Scientific paper

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.

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