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›› 2016, Vol. 33 ›› Issue (4): 438-442.DOI: 10.7523/j.issn.2095-6134.2016.04.002

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Study of SU(2)-orbit in CPn based on root distribution

LI Xiaohu, XIAO Liang   

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2015-09-28 Revised:2016-01-27 Online:2016-07-15

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

CLC Number: