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arXiv · 2605.21992

Inner post-Lie algebras and inner post-groups

V. Gubarev·Y. Li·Y. Sheng·Y. Wang
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Abstract

In this paper, using extension theory and cohomological approach we introduce the notion of the obstruction class for an inner post-Lie algebra being induced by a Rota-Baxter operator, and show that an inner post-Lie algebra is induced by a Rota-Baxter operator if and only if the obstruction class is trivial. Similarly, we introduce the notion of the obstruction class for an inner post-group being induced by a Rota-Baxter operator, and prove a parallel result. Finally, we give some applications of inner post-Lie algebras and inner post-groups.

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V. Gubarev, Y. Li, Y. Sheng, Y. Wang. 2026-05-21. Inner post-Lie algebras and inner post-groups. https://arxiv.org/abs/2605.21992

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