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On a family of relations of rooted tree maps

Hideki Murahara, Tatsushi Tanaka, Noriko Wakabayashi

Abstract

This paper is devoted to proving an infinite sequence of relations for rooted tree maps. On the way, we also give a basis for the space of rooted tree maps.

On a family of relations of rooted tree maps

Abstract

This paper is devoted to proving an infinite sequence of relations for rooted tree maps. On the way, we also give a basis for the space of rooted tree maps.
Paper Structure (5 sections, 10 equations)

This paper contains 5 sections, 10 equations.

Table of Contents

  1. Introduction
  2. Preliminaries
  3. Hopf algebra of rooted trees : an overview
  4. Rooted tree maps
  5. The algebra $\mathfrak{H}^1_{\diamond}$

Theorems & Definitions (1)

  • Example 2.1