English

The Universal Post-Lie-Rinehart Algebra of Planar Aromatic Trees

Combinatorics 2026-01-27 v1

Abstract

This paper defines the algebraic structure of tracial post-Lie-Rinehart algebras and describes the free object in this category. Post-Lie-Rinehart algebras is a generalisation of pre-Lie-Rinehart algebras, and of post-Lie algebroids.

Keywords

Cite

@article{arxiv.2601.18528,
  title  = {The Universal Post-Lie-Rinehart Algebra of Planar Aromatic Trees},
  author = {Ludwig Rahm},
  journal= {arXiv preprint arXiv:2601.18528},
  year   = {2026}
}