Code: 01568788

Local Newforms for GSp(4)

Name: Local Newforms for GSp(4)
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 01568788
Price: 51.61 EUR
Availability: InStock
Author: Brooks Roberts
ISBN: 9783540733232

by Brooks Roberts, Ralf Schmidt

Language: English
Binding: Paperback
Number of pages: 312
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 2007
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RRP: 55.88 €

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Book synopsis

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).