Relating the Connes-Kreimer and Grossman-Larson Hopf algebras built on rooted trees
Quantum Algebra
2007-05-23 v1
Abstract
We find a relation between two Hopf algebras built on rooted trees. The first is the Connes-Kreimer Hopf algebra H_R which describes a certain type of renormalization in quantum field theory; the second is the Grossman-Larson Hopf algebra A introduced ten years ago by some "differential" and combinatorial reasons. Roughly, the relation is the following: there exists a duality between these two Hopf algebras. We study then two natural operators on A, inspired by similar ones introduced by Connes and Kreimer for H_R.
Keywords
Cite
@article{arxiv.math/0003074,
title = {Relating the Connes-Kreimer and Grossman-Larson Hopf algebras built on rooted trees},
author = {Florin Panaite},
journal= {arXiv preprint arXiv:math/0003074},
year = {2007}
}
Comments
8 pages, Latex, no figures