Local Newforms for GSp(4)

Local Newforms for GSp(4) describes a theory of new- and oldforms for representations of GSp(4) over a non-archimedean local field. This theory considers vectors fixed by the paramodular groups, and singles out certain vectors that encode canonical information, such as L-factors and epsilon-factors,...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Roberts, Brooks (Autor), Schmidt, Ralf (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edición:1st ed. 2007.
Colección:Lecture Notes in Mathematics, 1918
Temas:
Number theory.
Algebra.
Topological groups.
Lie groups.
Number Theory.
Topological Groups and Lie Groups.
Acceso en línea:Texto Completo
Descripción
Sumario:Local Newforms for GSp(4) describes a theory of new- and oldforms for representations of GSp(4) over a non-archimedean local field. This theory considers vectors fixed by the paramodular groups, and singles out certain vectors that encode canonical information, such as L-factors and epsilon-factors, through their Hecke and Atkin-Lehner eigenvalues. While there are analogies to the GL(2) case, this theory is novel and unanticipated by the existing framework of conjectures. An appendix includes extensive tables about the results and the representation theory of GSp(4).
Descripción Física:VIII, 312 p. online resource.
ISBN:9783540733249
ISSN:1617-9692 ;

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