Post-Lie-Magnus expansion and BCH-recursion

Autor: Al-Kaabi, Mahdi Jasim Hasan, Ebrahimi-Fard, Kurusch, Manchon, Dominique
Rok vydání: 2021
Předmět:
Zdroj: Symmetry, Integrability and Geometry : Methods and Applications, National Academy of Science of Ukraine, SIGMA 18 (2022), 023, 16 pages
Druh dokumentu: Working Paper
Popis: We identify the Baker-Campbell-Hausdorff recursion driven by a weight$\lambda=1$ Rota-Baxter operator with the Magnus expansion relativeto the post-Lie structure naturally associated to the correspondingRota-Baxter algebra. Post-Lie Magnus expansion and BCH-recursionare reviewed before the proof of the main result.
Databáze: arXiv