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Symmetry, Integrability and Geometry: Methods and Applications, 2022, Volume 18, 023, 16 pp.
DOI: https://doi.org/10.3842/SIGMA.2022.023 (Mi sigma1817) 		 
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
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DOI: https://doi.org/10.3842/SIGMA.2022.023
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.
Funding agency Grant number
Agence Nationale de la Recherche CARPLO ANR20-CE40-0007
Research Council of Norway 302831
The first author was funded by the Iraqi Ministry of Higher Education and Scientific Research. He would like to thank the Department of Mathematics at the University of Bergen, Norway, for warm hospitality during a visit in 2021, which was partially supported by the project Pure Mathematics in Norway, funded by Trond Mohn Foundation and Tromsø Research Foundation. The second author is supported by the Research Council of Norway through project 302831 “Computational Dynamics and Stochastics on Manifolds” (CODYSMA). The third author is supported by Agence Nationale de la Recherche, projet CARPLO ANR20-CE40-0007.
Received: August 26, 2021; in final form March 10, 2022; Published online March 23, 2022
Bibliographic databases:
Document Type: Article
MSC: 16T05, 16T10, 16T30, 17A30
Language: English
Citation: Mahdi J. Hasan Al-Kaabi, Kurusch Ebrahimi-Fard, Dominique Manchon, “Post-Lie Magnus Expansion and BCH-Recursion”, SIGMA, 18 (2022), 023, 16 pp.
Citation in format AMSBIB
\Bibitem{Al-EbrMan22}
\by Mahdi~J.~Hasan~Al-Kaabi, Kurusch~Ebrahimi-Fard, Dominique~Manchon
\paper Post-Lie Magnus Expansion and BCH-Recursion
\jour SIGMA
\yr 2022
\vol 18
\papernumber 023
\totalpages 16
\mathnet{http://mi.mathnet.ru/sigma1817}
\crossref{https://doi.org/10.3842/SIGMA.2022.023}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4397644}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85127049637}
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    • This publication is cited in the following 1 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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