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...

Descrizione completa

Salvato in:
Dettagli Bibliografici
Autore principale: Schwarz, Benjamin
Altri autori: Upmeier, Harald (Prof. Dr.) (Relatore della tesi)
Natura: Dissertation
Lingua:inglese
Pubblicazione: Philipps-Universität Marburg 2010
Soggetti:
Accesso online:PDF Full Text
Tags: Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
Descrizione
Riassunto: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.
DOI:10.17192/z2010.0625