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.
Schwarz, Benjamin (142603872): Jordan theoretic G-orbits and flag varieties. : Philipps-Universität Marburg 2010-10-26. DOI: https://doi.org/10.17192/z2010.0625.
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