幂零非交换 Jordan 代数的代数与几何分类
环与代数
2020-07-03 v1
摘要
我们给出了复 维幂零非交换 Jordan 代数的代数与几何分类。具体而言，我们发现，在同构意义下，仅有 个互不同构的非平凡幂零非交换 Jordan 代数。相应的几何簇由 个刚性代数与 个单参数代数族的 Zariski 闭包确定。
引用
@article{arxiv.1912.02691,
title = {The algebraic and geometric classification of nilpotent noncommutative Jordan algebras},
author = {Doston Jumaniyozov and Ivan Kaygorodov and Abror Khudoyberdiyev},
journal= {arXiv preprint arXiv:1912.02691},
year = {2020}
}
备注
arXiv admin note: text overlap with arXiv:1909.00358 and substantial text overlap with arXiv:1812.01442