Jordan theoretic G-orbits and flag varieties
The Jordan theoretic approach to bounded symmetric domains G/K is used to determine the G-orbits on the compact dual of G/K as well as their Matsuki-duals in an explicit way. For this we use a generalized version of the Peirce decomposition within Jordan triple systems and the notion of pseudo-inver...
Kaydedildi:
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| Materyal Türü: | Dissertation |
| Dil: | İngilizce |
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Philipps-Universität Marburg
2010
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| Online Erişim: | PDF Tam Metin |
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| Özet: | The Jordan theoretic approach to bounded symmetric domains G/K is used to determine the G-orbits on the compact dual of G/K as well as their Matsuki-duals in an explicit way. For this we use a generalized version of the Peirce decomposition within Jordan triple systems and the notion of pseudo-inverses. As a second result of this thesis we develope a Jordan theoretic model for generalized flag varieties and use this to give a Jordan theoretic description of the so called determinant functions introduced by L. Barchini, S.G. Gindikin and H.W. Wong. |
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| Fiziksel Özellikler: | 183 Seiten |
| DOI: | 10.17192/z2010.0625 |