兼容 Pre-Lie 代数的代数与几何分类
环与代数
2024-12-02 v2
摘要
本文发展了一种从相同维度的 Pre-Lie 代数分类出发，获取兼容 Pre-Lie 代数代数分类的方法。我们运用此方法获得复2维兼容 Pre-Lie 代数的代数分类。作为副产品，我们获得了复2维兼容交换结合、兼容结合以及兼容 Novikov 代数的分类。此外，我们考虑了这些代数的变种的几何分类，即对其不可约分量的描述。
关键词
引用
@article{arxiv.2406.10947,
title = {The Algebraic and Geometric Classification of Compatible Pre-Lie Algebras},
author = {Hani Abdelwahab and Ivan Kaygorodov and Abdenacer Makhlouf},
journal= {arXiv preprint arXiv:2406.10947},
year = {2024}
}
备注
Some text overlap with our paper arXiv:2403.17193 is caused by our use here of basically the same method for discovering the main result, but the variety considered here and the results are totally different from arXiv:2403.17193