Dokument
Titel: | Jordan theoretic G-orbits and flag varieties |
Autor: | Schwarz, Benjamin |
Weitere Beteiligte: | Upmeier, Harald (Prof. Dr.) |
Veröffentlicht: | 2010 |
URI: | https://archiv.ub.uni-marburg.de/diss/z2010/0625 |
DOI: | https://doi.org/10.17192/z2010.0625 |
URN: | urn:nbn:de:hebis:04-z2010-06250 |
DDC: | 510 Mathematik |
Titel (trans.): | Jordan theoretische G-Orbits und Fahnenvarietäten |
Publikationsdatum: | 2010-10-26 |
Lizenz: | https://rightsstatements.org/vocab/InC-NC/1.0/ |
Schlagwörter: |
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Determinantenfunktionen, Jordantheorie, Jordan theory, Halbeinfache Lie-Gruppe, Fahnenmannigfaltigkeit, Hermitescher symmetrischer Raum, Orbit <Mathematik>, Determinant functions |
Summary:
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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