Dokument
| Titel: | Cusp forms, Spanning sets and Super Symmetry |
| Autor: | Knevel, Roland |
| Weitere Beteiligte: | Upmeier, Harald (Prof. Dr.) |
| Veröffentlicht: | 2007 |
| URI: | https://archiv.ub.uni-marburg.de/diss/z2007/0112 |
| URN: | urn:nbn:de:hebis:04-z2007-01123 |
| DOI: | https://doi.org/10.17192/z2007.0112 |
| DDC: | Mathematik |
| Titel (trans.): | Spitzenformen, Erzeugendensysteme und Supersymmetrie |
| Publikationsdatum: | 2007-04-12 |
| Lizenz: | https://rightsstatements.org/vocab/InC-NC/1.0/ |
| Schlagwörter: |
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| 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 |
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.
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