Quasi-Symmetric Functions, Multiple Zeta Values, and Rooted Trees

Details Quasi-Symmetric Functions, Multiple Zeta Values, and Rooted Trees Quasi-Symmetric Functions, Multiple Zeta Values, and Rooted Trees

2006-09-14

arxiv.org/abs/math/0609413v1

Oberwolfach Reports 3 (2006), 1259-1262.

Mathematics

Quantum Algebra

Report on two talks given at Oberwolfach Mini-Conference on Zeta Functions, Index, and Twisted K-Theory: Interactions with Phy

Scientific paper

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.

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