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Post-Lie-Magnus expansion and BCH-recursion (2108.11103v2)
Published 25 Aug 2021 in math.RA
Abstract: 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.
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