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Local Newforms for GSp(4)
Paperback
Series: Lecture Notes in Mathematics, Book 1918
ISBN13: 9783540733232
Publisher: Springer
Published: Aug 20 2007
Pages: 312
Weight: 1.05
Height: 0.74 Width: 6.33 Depth: 9.18
Language: English
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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