Topological structures of \(\omega\)-subsets in symplectic groups
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.
scientific article; zbMATH DE number 1321991