Post-Lie Magnus Expansion and BCH-Recursion

Author:

Al-Kaabi Mahdi J. Hasan, ,Ebrahimi-Fard Kurusch,Manchon Dominique, ,

Abstract

We identify the Baker-Campbell-Hausdorff recursion driven by a weight λ=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.

Publisher

SIGMA (Symmetry, Integrability and Geometry: Methods and Application)

Subject

Geometry and Topology,Mathematical Physics,Analysis

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Free post-groups, post-groups from group actions, and post-Lie algebras;Journal of Geometry and Physics;2024-04

2. What is the Magnus expansion?;Journal of Computational Dynamics;2024

3. Post-Hopf algebras, relative Rota--Baxter operators and solutions to the Yang--Baxter equation;Journal of Noncommutative Geometry;2023-10-15

4. On expansions for nonlinear systems Error estimates and convergence issues;Comptes Rendus. Mathématique;2023-01-12

5. Post-Lie algebras in Regularity Structures;Forum of Mathematics, Sigma;2023

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