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http://hdl.handle.net/20.500.12358/24119
Title | Parametrization of the orbits of the real forms SU (p, q) and SO(p, q) in Grassmannian |
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Untitled | |
Abstract |
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 . |
Authors | |
Type | Journal Article |
Date | 2018 |
Language | English |
Published in | IUG Journal of Natural Studies |
Series | Volume: 26, Number: 2 |
Publisher | الجامعة الإسلامية - غزة |
Citation | |
License | ![]() |
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Files in this item | ||
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3514-18290-1-PB.pdf | 1.227Mb |