The universal pre-Lie-Rinehart algebras of aromatic trees
Rings and Algebras
2020-12-29 v2
Abstract
We organize colored aromatic trees into a pre-Lie-Rinehart algebra (i.e. a flat torsion-free Lie-Rinehart algebra) endowed with a natural trace map, and show the freeness of this object among pre-Lie-Rinehart algebras with trace. This yields the algebraic foundations of aromatic B-series.
Keywords
Cite
@article{arxiv.2002.05718,
title = {The universal pre-Lie-Rinehart algebras of aromatic trees},
author = {Gunnar Fløystad and Dominique Manchon and Hans Z. Munthe-Kaas},
journal= {arXiv preprint arXiv:2002.05718},
year = {2020}
}
Comments
20 pages, improvements and clarifications added, 1 figure