复Grassman流形中齐性三维球面的一种构造 |
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作者姓名: | 何思 肖良 |
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作者单位: | 中国科学院大学数学科学学院, 北京 100049 |
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基金项目: | 国家自然科学基金(11331002)资助 |
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摘 要: | 证明复Grassman流形中的齐性三维球面可以作为一个三维的ρ(SU(2))轨道,然后利用SU(2)和SU(2)×SU(2) 的表示理论给出具体构造这种齐性三维球面的方法。
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关 键 词: | 表示论 SU(2) SU(2)× SU(2) 齐性三维球面 复Grassman流形 |
收稿时间: | 2014-11-14 |
修稿时间: | 2015-03-17 |
A method for construction of homogeneous 3-spheres in complex Grassmanians |
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Authors: | HE Si XIAO Liang |
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Institution: | School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China |
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Abstract: | 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. |
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Keywords: | representation theory SU(2) SU(2)× SU(2) homogeneous 3-spheres complex Grassmanians |
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