Quasi-Symmetric Functions, Multiple Zeta Values, and Rooted Trees
Quantum Algebra
2007-05-23 v1 Combinatorics
Abstract
We review the relation between the Hopf algebra QSym of quasi-symmetric functions and the multiple zeta values, and then discuss a commutative diagram involving the Hopf algebra Sym of symmetric functions, the Hopf algebra dual NSym of QSym, and the Hopf algebras of rooted trees and planar rooted trees as defined by Kreimer and Foissy respectively.
Keywords
Cite
@article{arxiv.math/0609413,
title = {Quasi-Symmetric Functions, Multiple Zeta Values, and Rooted Trees},
author = {Michael E. Hoffman},
journal= {arXiv preprint arXiv:math/0609413},
year = {2007}
}
Comments
Report on two talks given at Oberwolfach Mini-Conference on Zeta Functions, Index, and Twisted K-Theory: Interactions with Physics (May 2006)