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Chapitre D'ouvrage Année : 2021

The universal pre-Lie-Rinehart algebras of aromatic trees

Résumé

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.

Dates et versions

hal-03041784 , version 1 (05-12-2020)

Identifiants

Citer

Gunnar Fløystad, Dominique Manchon, Hans Z. Munthe-Kaas. The universal pre-Lie-Rinehart algebras of aromatic trees. Ali Baklouti, Hideyuki Ishi. Geometric and Harmonic Analysis on Homogeneous Spaces and Applications, Springer International Publishing, 2021, Springer Proceedings in Mathematics & Statistics, 978-3-030-78345-7. ⟨hal-03041784⟩
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