Colored trees and noncommutative symmetric functions
Quantum Algebra
2009-09-22 v1 Combinatorics
Abstract
Let denote the category of -colored rooted forests, and \H_{\CRF_S} denote its Ringel-Hall algebra as introduced in \cite{KS}. We construct a homomorphism from a --graded version of the Hopf algebra of noncommutative symmetric functions to \H_{\CRF_S}. Dualizing, we obtain a homomorphism from the Connes-Kreimer Hopf algebra to a --graded version of the algebra of quasisymmetric functions. This homomorphism is a refinement of one considered by W. Zhao in \cite{Z}.
Keywords
Cite
@article{arxiv.0909.3601,
title = {Colored trees and noncommutative symmetric functions},
author = {Matthew Szczesny},
journal= {arXiv preprint arXiv:0909.3601},
year = {2009}
}