Post-Lie Magnus Expansion and BCH-Recursion

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Authors: Al-Kaabi, Mahdi J. Hasan, Ebrahimi-Fard, Kurusch, Manchon, Dominique
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211522
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Post-Lie Magnus Expansion and BCH-Recursion. Mahdi J. Hasan Al-Kaabi, Kurusch Ebrahimi-Fard and Dominique Manchon. SIGMA 18 (2022), 023, 16 pages

We identify the Baker-Campbell-Hausdorff recursion driven by a weight λ=1 Rota-Baxter operator with the Magnus expansion relative to the post-Lie structure naturally associated with the corresponding Rota-Baxter algebra. Post-Lie Magnus expansion and BCH-recursion are reviewed before the proof of th...