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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Auteur principal: Knevel, Roland
Autres auteurs: Upmeier, Harald (Prof. Dr.) (Directeur de thèse)
Format: Dissertation
Langue:anglais
Publié: Philipps-Universität Marburg 2007
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Résumé:- 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.
Description matérielle:273 Seiten
DOI:10.17192/z2007.0112