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arXiv · 2306.08284

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

Mahdi Jasim Hasan Al-Kaabi·Kurusch Ebrahimi-Fard·Dominique Manchon
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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.

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Mahdi Jasim Hasan Al-Kaabi, Kurusch Ebrahimi-Fard, Dominique Manchon. 2023-06-14. Free post-groups, post-groups from group actions, and post-Lie algebras. https://arxiv.org/abs/2306.08284

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