Topological structures of omega-subsets in symplectic groups

Authors
Citation
Ym. Long, Topological structures of omega-subsets in symplectic groups, ACTA MATH S, 15(2), 1999, pp. 255-268
Citations number
9
Categorie Soggetti
Mathematics
Journal title
ACTA MATHEMATICA SINICA-NEW SERIES
ISSN journal
10009574 → ACNP
Volume
15
Issue
2
Year of publication
1999
Pages
255 - 268
Database
ISI
SICI code
1000-9574(199904)15:2<255:TSOOIS>2.0.ZU;2-W
Abstract
All the symplectic matrices possessing a fixed eigenvalue omega 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).