Buchumschlag

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...

Ausführliche Beschreibung

Gespeichert in:
1. Verfasser: Schwarz, Benjamin
Beteiligte: Upmeier, Harald (Prof. Dr.) (BetreuerIn (Doktorarbeit))
Format: Dissertation
Sprache:Englisch
Veröffentlicht: Philipps-Universität Marburg 2010
Schlagworte:
Determinant functions
Mathematik
Determinantenfunktionen
Halbeinfache Lie-Gruppe
Fahnenmannigfaltigkeit
Jordan theory
Jordantheorie
Hermitescher symmetrischer Raum
Orbit <Mathematik>
Mathematics
Online-Zugang:PDF-Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
Umfang:183 Seiten
DOI:10.17192/z2010.0625

Ähnliche Einträge