Free post-groups, post-groups from group actions, and post-Lie algebras
Quantum Algebra
2024-01-12 v4
Abstract
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.
Cite
@article{arxiv.2306.08284,
title = {Free post-groups, post-groups from group actions, and post-Lie algebras},
author = {Mahdi Jasim Hasan Al-Kaabi and Kurusch Ebrahimi-Fard and Dominique Manchon},
journal= {arXiv preprint arXiv:2306.08284},
year = {2024}
}
Comments
Inaccurracy corrected by considering weak post-groups (recently introduced by S. Wang, arXiv:2307.10535)