130 citations · 450 across the 22 of their papers we have counts for
3 papers · 1 filter
Pre- and Post-Lie Algebras: The Algebro-Geometric View
Gunnar Fløystad, Hans Munthe-Kaas
We relate composition and substitution in pre- and post-Lie algebras to algebraic geometry. The Connes-Kreimer Hopf algebras, and MKW Hopf algebras are then coordinate rings of the…
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…
Lie-Butcher series, Geometry, Algebra and Computation
Hans Z. Munthe-Kaas, Kristoffer K. Føllesdal
Lie-Butcher (LB) series are formal power series expressed in terms of trees and forests. On the geometric side LB-series generalizes classical B-series from Euclidean spaces to Lie…