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

2023/06/14 by Al-Kaabi, Mahdi Jasim Hasan, Ebrahimi-Fard, Kurusch, Manchon, Dominique · 1 citation
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2306.08284

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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• Post-Hopf algebroids, post-Lie-Rinehart algebras and geometric numerical integration

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