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Topological structures ofθ-subsets in symplectic groups

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Abstract

All the symplectic matrices possessing a fixed eigenvalueθ on the unit circle form a hypersurface in the real symplectic group Sp(2n). This paper is devoted to the study of the topological structures of this hypersurface and its complement in Sp(2n).

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Authors and Affiliations

  1. Nankai Institute of Mathematics, Nankai University, 300071, Tianjin, P. R. China

    Yiming Long

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  1. Yiming Long
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Partially supported by NNSF and MCSEC of China and Qiu Shi Sci. Tech. Foundation

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Long, Y. Topological structures ofθ-subsets in symplectic groups. Acta Mathematica Sinica 15, 255–268 (1999). https://doi.org/10.1007/BF02650669

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  • DOI: https://doi.org/10.1007/BF02650669

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