arXiv subjects

Mahdi Jasim Hasan Al-Kaabi

Publications and source records attributed to Mahdi Jasim Hasan Al-Kaabi.

2 recordsLinked to original sources

arXiv2024

Free post-groups, post-groups from group actions, and post-Lie algebras

After providing a short review on the recently introduced notion of post-group by Bai, Guo, Sheng and Tang, we exhibit post-group counterparts of important post-Lie algebras in the literature, including the infinite-dimensional post-Lie algebra of Lie group integrators. The notion of free post-group is examined, and a group isomorphism between the two group structures associated to a free post-group is explicitly constructed.

math.QA↗

arXiv2022

Post-Lie-Magnus expansion and BCH-recursion

We identify the Baker-Campbell-Hausdorff recursion driven by a weight$λ=1$ 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.

math.RA↗