Algebraic aspects of rooted tree maps
Number Theory
2020-09-28 v1 Rings and Algebras
Abstract
Based on the Connes--Kreimer Hopf algebra of rooted trees, the rooted tree maps are defined as linear maps on noncommutative polynomial algebra in two indeterminates. It is known that they induce a large class of linear relations for multiple zeta values. In this paper, we investigate some basic algebraic properties of rooted tree maps by relating to the harmonic algebra. We also characterize the antipode maps as the conjugation by the special map .
Cite
@article{arxiv.2009.05238,
title = {Algebraic aspects of rooted tree maps},
author = {Hideki Murahara and Tatsushi Tanaka},
journal= {arXiv preprint arXiv:2009.05238},
year = {2020}
}