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
Otros Autores: Roberts, Brooks, 1964- author (author), Schmidt, Ralf, 1968- author
Formato: Libro electrónico
Idioma:Inglés
Publicado: Berlin ; Heidelberg ; New York : Springer [2007]
Edición:1st ed. 2007.
Colección:Lecture notes in mathematics (Springer-Verlag) ; 1918.
Materias:
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009461925106719
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).
Notas:Description based upon print version of record.
Descripción Física:1 online resource (310 p.)
Bibliografía:Includes bibliographical references and index.
ISBN:9781280960178
9786610960170
9783540733249