Cusp forms, Spanning sets and Super Symmetry

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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Bibliographische Detailangaben
1. Verfasser: Knevel, Roland
Beteiligte: Upmeier, Harald (Prof. Dr.) (BetreuerIn (Doktorarbeit))
Format: Dissertation
Sprache:Englisch
Veröffentlicht: Philipps-Universität Marburg 2007
Schlagworte:
Lie groups
Mathematik
Hyperbolic flows
Komplexe beschränkte symmetrische Gebiete
Spitzenformen
Geometrische Analysis
Super cusp forms
Classical differential geometry
Cusp forms
Hyperbolische Flüsse
Geometric function theory
Supersymmetrie
Super-Spitzenformen
Supermannigfaltigkeiten
Super manifolds
Complex bounded symmetric domains
Mathematics
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Beschreibung
Zusammenfassung:- 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.
Umfang:273 Seiten
DOI:10.17192/z2007.0112

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