收稿日期: 2014-11-14
修回日期: 2015-03-17
网络出版日期: 2016-01-15
基金资助
国家自然科学基金(11331002)资助
A method for construction of homogeneous 3-spheres in complex Grassmanians
Received date: 2014-11-14
Revised date: 2015-03-17
Online published: 2016-01-15
何思 , 肖良 . 复Grassman流形中齐性三维球面的一种构造[J]. 中国科学院大学学报, 2016 , 33(1) : 9 -15 . DOI: 10.7523/j.issn.2095-6134.2016.01.002
In this paper, we show that any homogeneous 3-sphere in complex Grassmanians must be a 3-dimensional ρ(SU(2))-orbit in complex Grassmanians. Then we use the representation theory of SU(2) and SU(2)×SU(2) to present a method for the construction of homogeneous 3-spheres in complex Grassmanians.
Key words： representation theory; SU(2); SU(2)×; SU(2); homogeneous 3-spheres; complex Grassmanians
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