有根树多对数

IF 0.9 3区数学 Q2 MATHEMATICS, APPLIED

Bulletin des Sciences Mathematiques Pub Date : 2024-12-18 DOI:10.1016/j.bulsci.2024.103568

Kumi Kobata , Tatsushi Tanaka , Noriko Wakabayashi

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引用次数: 0

摘要

本文从根树H的cones - kreimer Hopf代数的观点出发，研究了以根树为索引的多重多对数，并给出了它们的一些性质，特别是证明了H中几乎所有的原始元素都给出了多对数之间的关系。此外，我们比较了多对数的代数结构与有根树映射的代数结构。

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Rooted tree polylogarithms

We study multiple polylogarithms indexed by rooted forests and show some properties of them from a viewpoint of the Connes-Kreimer Hopf algebra of rooted trees