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Local Newforms for GSp(4) af Brooks Roberts, Ralf Schmidt

Local Newforms for GSp(4) (Lecture Notes in Mathematics)

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Beskrivelse: 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 fix... Læs mere

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 consid... Læs mere

Produktdetaljer:

Sprog:
Engelsk
ISBN-13:
9783540733249
Udgivet:
18-07-2007
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Forlagets beskrivelse
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).

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