Journal of University of Chinese Academy of Sciences >
Study of SU(2)-orbit in CPn based on root distribution
Received date: 2015-09-28
Revised date: 2016-01-27
Online published: 2016-07-15
We obtain a more explicit expression than Bando-Ohnita (J Math Soc Japan, 1987, 39:477) for judging that a SU(2)-orbit is a two-dimension homogeneous sphere, based on the root distribution, and study the SU(2)-orbit problem in CPn by checking whether some n-points are collinear on a Riemann sphere.
Key words： SU(2); Mobius transform; homogeneous space; CPn; polar projection
LI Xiaohu , XIAO Liang . Study of SU(2)-orbit in CPn based on root distribution[J]. Journal of University of Chinese Academy of Sciences, 2016 , 33(4) : 438 -442 . DOI: 10.7523/j.issn.2095-6134.2016.04.002
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