| Eigenvalues of the Manifold Sp（n）/U（n） |
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| 引用本文： | Yi HONG,Wen Ge,CHEN. Eigenvalues of the Manifold Sp（n）/U（n）[J]. 数学学报(英文版), 2011, 27(11): 2269-2274. DOI: 10.1007/s10114-011-8591-3 |
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| 作者姓名： | Yi HONG Wen Ge CHEN |
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| 作者单位： | Department of Mathematics, South China University of Technology, Guangzhou 510640, P. R. China |
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| 摘 要： |
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| 关 键 词： | 特征值 SP F2 李群 |
Eigenvalues of the manifold Sp(n)/U(n) |
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| Yi Hong,Wen Ge Chen. Eigenvalues of the manifold Sp(n)/U(n)[J]. Acta Mathematica Sinica(English Series), 2011, 27(11): 2269-2274. DOI: 10.1007/s10114-011-8591-3 |
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| Authors: | Yi Hong Wen Ge Chen |
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| Affiliation: | 1.Department of Mathematics,South China University of Technology,Guangzhou,P. R. China |
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| Abstract: | In this paper, we give the eigenvalues of the manifold Sp(n)/U(n). We prove that an eigenvalue λ s (f 2, f 2, …, f n ) of the Lie group Sp(n), corresponding to the representation with label (f 1, f 2, ..., f n ), is an eigenvalue of the manifold Sp(n)/U(n), if and only if f 1, f 2, …, f n are all even. |
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| Keywords: | Manifold eigenvalues group representation theory |
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