正交幂零对称轨道闭包的奇性
组合数学
2022-05-11 v3 代数几何
表示论
摘要
我们研究正交群对称矩阵中共轭类的闭包，并确定其中哪些是正规簇。与辛群中所有类均有正规闭包的结果相反，仅有相对较小部分的类具有正规闭包。我们在 Kraft-Procesi 与 Ohta 所用相同方法的基础上进行了组合计算。
引用
@article{arxiv.2105.08680,
title = {Normality of closure of orthogonal nilpotent symmetric orbits},
author = {Marco Trevisiol},
journal= {arXiv preprint arXiv:2105.08680},
year = {2022}
}
备注
22 pages, comments welcome. Part of my phd thesis. In version 2 I fix a typo in equation (4) and I explained better the justification of that equation. Version 3 includes the corrections suggested by the reviewers