半单李代数上的真仿射作用
群论
2016-05-13 v2
摘要
对于任何非紧半单实李群 ，我们构造了其李代数 上的一个仿射变换群，该群的线性部分在 中是 Zariski 稠密的，并且是自由的、非阿贝尔的，且在 上真不连续地作用。
引用
@article{arxiv.1406.5906,
title = {Proper affine actions on semisimple Lie algebras},
author = {Ilia Smilga},
journal= {arXiv preprint arXiv:1406.5906},
year = {2016}
}
备注
Section 3 of this paper draws heavily on the section 3 from my earlier paper arXiv:1303.3766 This is the version that appeared in Geometriae Dedicata. I have corrected some mistakes, added a few examples and added a proof that the Margulis invariant is well-defined