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arXiv:2002.05718 [math.RA]AbstractReferencesReviewsResources

The universal pre-Lie-Rinehart algebras of aromatic trees

Gunnar Fl√łystad, Dominique Manchon, Hans Z. Munthe-Kaas

Published 2020-02-13Version 1

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.