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OverviewLocal 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). Full Product DetailsAuthor: Brooks Roberts , Ralf SchmidtPublisher: Springer Imprint: Springer ISBN: 9786610960170ISBN 10: 6610960178 Pages: 311 Publication Date: 01 January 2007 Audience: General/trade , General Format: Electronic book text Publisher's Status: Active Availability: Out of stock ![]() The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsReviewsFrom the reviews: <p> This book gives an analog of Casselmana (TM)s local Atkin-Lehner theorem for GSp(4). a ] The local theory of the Novodvorsky construction is advanced by this work of Roberts and Schmidt, and the converse is also true: the Novodvorsky local integrals play an important role in the proof, especially in the supercuspidal case. a ] proves an important theorem, and moreover is written in a useful and instructive way. (Daniel Bump, Mathematical Reviews, Issue 2008 g) Author InformationTab Content 6Author Website:Countries AvailableAll regions |