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- 2016
求CP的SU(2)轨道的根分布方法
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Abstract:
摘要 从根分布的角度，对齐性二维球面分类结果给出比Bando和Ohnita（J Math Soc Japan，1987，39：477）更加明显的刻画，求出决定齐性二维球面的SU（2）轨道的李群多项式表示的显式表达式，证明复射影空间中SU（2）轨道的维数取决于一个对应的扩大复平面系数上的一元n次方程的重根和负共轭倒数根对分布，把SU（2）轨道维数归结为黎曼球面上n个点是否重合或成为对径点的问题。也初步研究了SU（2）三维轨道性质与根分布的关系。
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