The Isotropy Representations of the Rosenfeld Planes

  • There are four symmetric spaces of exceptional type with dimensions 16, 32, 64 and 128 which are called Rosenfeld planes. Their isometry groups are the exceptional Lie groups F_4, E_6, E_7 and E_8. In the present work a construction of the isotropy representations is given which implies a simple construction of the above spaces.

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Metadaten
Author:Erich Dorner
URN:urn:nbn:de:bvb:384-opus4-381786
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/38178
Advisor:Jost-Hinrich Eschenburg
Type:Doctoral Thesis
Language:English
Year of first Publication:2018
Publishing Institution:Universität Augsburg
Granting Institution:Universität Augsburg, Mathematisch-Naturwissenschaftlich-Technische Fakultät
Date of final exam:2018/02/20
Release Date:2018/06/06
Tag:isotropy representations; Rosenfeld planes; exceptional Lie groups; Riemannian geometry; symmetric spaces
GND-Keyword:Riemannsche Geometrie; Lie-Gruppe; Symmetrischer Raum; Isotropiegruppe; Isotropiedarstellung
Pagenumber:31
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):Deutsches Urheberrecht mit Print on Demand