Post-Lie-Magnus expansion and BCH-recursion
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.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2021
- arXiv:
- arXiv:2108.11103
- Bibcode:
- 2021arXiv210811103J
- Keywords:
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- Mathematics - Rings and Algebras
- E-Print:
- Symmetry, Integrability and Geometry : Methods and Applications, National Academy of Science of Ukraine, SIGMA 18 (2022), 023, 16 pages