Rooted tree maps

Tanaka, Tatsushi

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Rooted tree maps

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Tanaka, Tatsushi
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.48550/arXiv.1712.01029
(Preprint)

https://dx.doi.org/10.4310/CNTP.2019.v13.n3.a6
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Citation

Tanaka, T. (2019). Rooted tree maps. Communications in Number Theory and Physics, 13(3), 647-666.

Cite as: https://hdl.handle.net/21.11116/0000-0005-0CB0-7

Abstract

Based on Hopf algebra of rooted trees introduced by Connes and Kreimer, we
construct a class of linear maps on noncommutative polynomial algebra in two
indeterminates, namely rooted tree maps. We also prove that their maps induce a class of relations among multiple zeta values.