中文

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 G/ ⁣ ⁣/SU(2)2G/\!\!/ SU(2)^2 的所有紧单连通双商进行了分类,其中 G=SU(4),SO(7),Spin(7)G =SU(4), SO(7), Spin(7),或 G=G2×SU(2)G = \mathbf{G}_2\times SU(2)。特别地,我们证明在第一种和最后一种情形中恰好有 22 个非齐次约化双商,而在中间情形中有 1010 个。

关键词

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