Geodesic
Post-Lie Magnus Expansion and BCH-Recursion
Symmetry, integrability and geometry: methods and applications, Tome 18 (2022) Cet article a éte moissonné depuis la source Math-Net.Ru

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We identify the Baker–Campbell–Hausdorff recursion driven by a weight $\lambda=1$ Rota–Baxter operator with the Magnus expansion relative to the post-Lie structure naturally associated to the corresponding Rota–Baxter algebra. Post-Lie Magnus expansion and BCH-recursion are reviewed before the proof of the main result.
Keywords: post-Lie algebra, pre-Lie algebra, Rota–Baxter algebra, Magnus expansion, BCH-formula, rooted trees. 
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}
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Mahdi J. Hasan Al-Kaabi; Kurusch Ebrahimi-Fard; Dominique Manchon. Post-Lie Magnus Expansion and BCH-Recursion. Symmetry, integrability and geometry: methods and applications, Tome 18 (2022). http://geodesic.mathdoc.fr/item/SIGMA_2022_18_a22/

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