Rooted tree maps and the derivation relation for multiple zeta values-Reference-Cited by-同舟云学术

Rooted tree maps and the derivation relation for multiple zeta values

Published:2018-10-25 Issue:10 Volume:14 Page:2657-2662
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Bachmann Henrik¹,Tanaka Tatsushi²

Affiliation:

1. Graduate School of Mathematics, Nagoya University, Nagoya, Chikusa-ku 464-8602, Japan

2. Department of Mathematics, Kyoto Sangyo University, Motoyama, Kamigamo, Kita-ku, Kyoto-city 603-8555, Kyoto, Japan

Abstract

Rooted tree maps assign to an element of the Connes–Kreimer Hopf algebra of rooted trees a linear map on the noncommutative polynomial algebra in two letters. Evaluated at any admissible word, these maps induce linear relations between multiple zeta values. In this note, we show that the derivation relations for multiple zeta values are contained in this class of linear relations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042118501592

Reference3 articles.

1. Hopf Algebras, Renormalization and Noncommutative Geometry

2. Derivation and double shuffle relations for multiple zeta values

3. On Dynkin and Klyachko Idempotents in Graded Bialgebras

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