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Parametrization of the orbits of the real forms SU (p, q) and SO(p, q) in grassmannian
Author
Source
IUG Journal of Natural Studies
Issue
Vol. 26, Issue 2 (31 Dec. 2018), pp.17-26, 10 p.
Publisher
The Islamic University-Gaza Deanship of Research and Graduate Affairs
Publication Date
2018-12-31
Country of Publication
Palestine (Gaza Strip)
No. of Pages
10
Main Subjects
Abstract EN
Let G be a complex semi-simple Lie group with real form G0.
Let Z = G/P be identified with Gr(k, n), the Grassmannian of k planes in Cn.
Equivalently, P is a maximal parabolic subgroup defined by the dimension sequence (k, n − k).
Consider the action of G0 on the Grassmannian Gr(k, n).
It is known that G0 has only finitely many orbits in G/P and therefore it has a unique closed orbit and at least one open orbit ([2],[6]).
In this paper we will prove that the G0-orbits in Gr(k, n) are parameterized by signature, where G0 is SU (p, q) and SO(p, q) a real form of SL(n, C) and SO(p, q) respectively .
American Psychological Association (APA)
Abu Shuga, Fatin Said. 2018. Parametrization of the orbits of the real forms SU (p, q) and SO(p, q) in grassmannian. IUG Journal of Natural Studies،Vol. 26, no. 2, pp.17-26.
https://search.emarefa.net/detail/BIM-837098
Modern Language Association (MLA)
Abu Shuga, Fatin Said. Parametrization of the orbits of the real forms SU (p, q) and SO(p, q) in grassmannian. IUG Journal of Natural Studies Vol. 26, no. 2 (2018), pp.17-26.
https://search.emarefa.net/detail/BIM-837098
American Medical Association (AMA)
Abu Shuga, Fatin Said. Parametrization of the orbits of the real forms SU (p, q) and SO(p, q) in grassmannian. IUG Journal of Natural Studies. 2018. Vol. 26, no. 2, pp.17-26.
https://search.emarefa.net/detail/BIM-837098
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 26
Record ID
BIM-837098