莱布尼茨代数的几何分类
环与代数
2021-01-20 v2 代数几何
摘要
我们描述了复数域 上四维莱布尼茨代数簇 中的所有刚性代数与所有不可约分支。特别地，我们证明了 Grunewald--O'Halloran 猜想对于 不成立，而 Vergne 猜想对于 成立。
引用
@article{arxiv.1705.04346,
title = {The geometric classification of Leibniz algebras},
author = {Nurlan Ismailov and Ivan Kaygorodov and Yury Volkov},
journal= {arXiv preprint arXiv:1705.04346},
year = {2021}
}
备注
It is the correction of the published version. The classification of irreducible components and rigid algebras is improved. Namely, the algebra $\mathfrak{L}_{2}$ is not rigid