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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...
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| Формат: | Dissertation |
| Язык: | английский |
| Опубликовано: |
Philipps-Universität Marburg
2010
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| Online-ссылка: | PDF-полный текст |
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| Итог: | 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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| DOI: | 10.17192/z2010.0625 |