秩为$3$的李群的$SU(2)^2$双商分类
微分几何
2016-08-25 v2
摘要
我们对形如 的所有紧单连通双商进行了分类,其中 ,或 。特别地,我们证明在第一种和最后一种情形中恰好有 个非齐次约化双商,而在中间情形中有 个。
引用
@article{arxiv.1505.05207,
title = {The classification of $SU(2)^2$ biquotients of rank $3$ Lie groups},
author = {Jason DeVito and Robert L. DeYeso},
journal= {arXiv preprint arXiv:1505.05207},
year = {2016}
}
备注
The approach in Section 2.3 has been changed significantly at the suggestion of a referee, but the final conclusions are unaltered. To appear in Topology and its Applications