Topological structures of \(\omega\)-subsets in symplectic groups (Q1292804)
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scientific article; zbMATH DE number 1321991
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Topological structures of \(\omega\)-subsets in symplectic groups |
scientific article; zbMATH DE number 1321991 |
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Topological structures of \(\omega\)-subsets in symplectic groups (English)
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7 February 2000
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Specify a point \(\omega\) in the unit circle in the complex plane. The set of symplectic matrices, having this \(\omega\) as an eigenvalue, is a hypersurface in the real symplectic group. The paper is devoted to the study of topological structures of the above hypersurface and of its complement in the group. For example, it is shown that the surface has exactly two path-connected components and that those components are simply connected, etc.
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symplectic groups
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\(\omega\)-subsets
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topological structure
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