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This article is cited in 1 scientific paper (total in 1 paper)
Post-Lie Magnus Expansion and BCH-Recursion
Mahdi J. Hasan Al-Kaabia, Kurusch Ebrahimi-Fardb, Dominique Manchonc a Mathematics Department, College of Science, Mustansiriyah University,
Palestine Street, P.O. Box 14022, Baghdad, Iraq
b Department of Mathematical Sciences, Norwegian University of Science and Technology,
Trondheim, Norway
c Laboratoire de Mathématiques Blaise Pascal, CNRS et Université Clermont-Auvergne
(UMR 6620), 3 place Vasarély, CS 60026, F63178 Aubière, France
Abstract:
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.
Received: August 26, 2021; in final form March 10, 2022; Published online March 23, 2022
Citation:
Mahdi J. Hasan Al-Kaabi, Kurusch Ebrahimi-Fard, Dominique Manchon, “Post-Lie Magnus Expansion and BCH-Recursion”, SIGMA, 18 (2022), 023, 16 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1817 https://www.mathnet.ru/eng/sigma/v18/p23
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