English

Post-Lie-Magnus expansion and BCH-recursion

Rings and Algebras 2022-03-24 v2

Abstract

We identify the Baker-Campbell-Hausdorff recursion driven by a weightλ=1\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.

Cite

@article{arxiv.2108.11103,
  title  = {Post-Lie-Magnus expansion and BCH-recursion},
  author = {Mahdi Jasim Hasan Al-Kaabi and Kurusch Ebrahimi-Fard and Dominique Manchon},
  journal= {arXiv preprint arXiv:2108.11103},
  year   = {2022}
}
R2 v1 2026-06-24T05:24:08.630Z