关键词: SU(2), Mobius变换, 齐性空间, 复射影空间, 球极投影

Abstract:

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