10.17192/z2007.0112
Knevel, Roland
Roland
Knevel
Cusp forms, Spanning sets and Super Symmetry
Spitzenformen, Erzeugendensysteme und Supersymmetrie
Philipps-Universität Marburg
2007
Mathematics
Mathematik
Hyperbolic flows
Komplexe beschränkte symmetrische Gebiete
Spitzenformen
Geometrische Analysis
Super cusp forms
Cusp forms
Hyperbolische Flüsse
Supersymmetrie
Super-Spitzenformen
Supermannigfaltigkeiten
Super manifolds
Complex bounded symmetric domains
Upmeier, Harald (Prof. Dr.)
Reine und Angewandte Mathematik
2011-08-10
2007-04-12
en
DoctoralThesis
https://archiv.ub.uni-marburg.de/diss/z2007/0112
urn:nbn:de:hebis:04-z2007-01123
https://archiv.ub.uni-marburg.de/diss/z2007/0112/cover.png
application/pdf
https://rightsstatements.org/vocab/InC-NC/1.0/
- Construction of a spanning set for the space of cusp forms in the case of a product of complex symmetric domains of rank 1 and a discrete subgroup with compact quotient based on the concept of hyperbolic flows,
- formulating the theory of super automorphic forms for parametrized discrete subgroups,
- construction of a spanning set for the space of super cusp forms in the rank 1 case for non-parametrized discrete subgroups,
- outlook on how to define the space of super cusp forms and how to find spanning sets in the case of a parametrized discrete subgroup.