Inner post-Lie algebras and inner post-groups
环与代数
2026-05-22 v1 群论
摘要
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.
引用
@article{arxiv.2605.21992,
title = {Inner post-Lie algebras and inner post-groups},
author = {V. Gubarev and Y. Li and Y. Sheng and Y. Wang},
journal= {arXiv preprint arXiv:2605.21992},
year = {2026}
}
备注
17 p