The universal pre-Lie-Rinehart algebras of aromatic trees

2020/02/13 by Fløystad, Gunnar, Manchon, Dominique, Munthe-Kaas, Hans Z. · 1 citation
#17A50 #17D25 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2002.05718

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.

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