Lie 群上右不变 Poisson Nijenhuis 结构：对应与分类
数学物理
2026-05-12 v2 math.MP
摘要
本文引入了在 Lie 群上右不变的 Poisson-Nijenhuis 结构及其微分对应项，即称为（Poisson 双向量，Nijenhuis 算子）结构。我们展示了在特定条件下，Lie 离子图上（Poisson 双向量，Nijenhuis 算子）结构与其 Lie 群上（Poisson，Nijenhuis）结构之间存在一一对应关系。我们还给出一些示例。
引用
@article{arxiv.2411.17179,
title = {Right invariant Poisson Nijenhuis structures on Lie groupoids Correspondence and Classification},
author = {Ghorbanali Haghighatdoost},
journal= {arXiv preprint arXiv:2411.17179},
year = {2026}
}
备注
12 pages, no figures. Uses xy-pic for diagrams. AMS: 53D17, 22A22, 58H05, 53D18, 37K10. Revised and extended version of author's 2020 paper, with complete proofs and new examples