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Cusp forms, Spanning sets and Super Symmetry

- 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 subgroup...

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Bibliographic Details
Main Author: Knevel, Roland
Contributors: Upmeier, Harald (Prof. Dr.) (Thesis advisor)
Format: Doctoral Thesis
Language:English
Published: Philipps-Universität Marburg 2007
Subjects:
Spitzenformen
Cusp forms
Lie groups
Mathematik
Geometrische Analysis
Complex bounded symmetric domains
Classical differential geometry
Geometric function theory
Super manifolds
Supersymmetrie
Super cusp forms
Hyperbolic flows
Super-Spitzenformen
Komplexe beschränkte symmetrische Gebiete
Supermannigfaltigkeiten
Hyperbolische Flüsse
Mathematics
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Summary:- 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.
Physical Description:273 Pages
DOI:10.17192/z2007.0112

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