Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1918)
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Table of contents (7 chapters)
Keywords
About this book
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).
Reviews
From the reviews:
"This book gives an analog of Casselman’s local Atkin-Lehner theorem for GSp(4). … 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. … proves an important theorem, and moreover is written in a useful and instructive way." (Daniel Bump, Mathematical Reviews, Issue 2008 g)
Authors and Affiliations
Bibliographic Information
Book Title: Local Newforms for GSp(4)
Authors: Brooks Roberts, Ralf Schmidt
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-540-73324-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2007
Softcover ISBN: 978-3-540-73323-2Published: 20 August 2007
eBook ISBN: 978-3-540-73324-9Published: 18 July 2007
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VIII, 312
Topics: Number Theory, Algebra, Topological Groups, Lie Groups