130 citations · 450 across the 22 of their papers we have counts for
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The universal pre-Lie-Rinehart algebras of aromatic trees
Gunnar Fløystad, Dominique Manchon, Hans Z. Munthe-Kaas
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 o…
Post-Lie algebras and factorization theorems
Kurusch Ebrahimi-Fard, Igor Mencattini, Hans Munthe-Kaas
In this note we further explore the properties of universal enveloping algebras associated to a post-Lie algebra. Emphasizing the role of the Magnus expansion, we analyze the prope…
Post-Lie Algebras and Isospectral Flows
Kurusch Ebrahimi-Fard, Alexander Lundervold, Igor Mencattini +1
In this paper we explore the Lie enveloping algebra of a post-Lie algebra derived from a classical -matrix. An explicit exponential solution of the corresponding Lie bracket flo…