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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Үндсэн зохиолч: | |
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Бусад зохиолчид: | |
Формат: | Dissertation |
Хэл сонгох: | англи |
Хэвлэсэн: |
Philipps-Universität Marburg
2010
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Нөхцлүүд: | |
Онлайн хандалт: | PDF-н бүрэн текст |
Шошгууд: |
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Тойм: | 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 |