Local Newforms for GSp(4)

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Local Newforms for GSp(4)

Local Newforms for GSp(4)

Name: Local Newforms for GSp(4)
ISBN: 9783540733249

Brooks Roberts, Ralf Schmidt (auth.)

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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).

類別:

Mathematics

年:

2007

版本:

出版商:

Springer-Verlag Berlin Heidelberg

語言:

english

頁數:

312

ISBN 10: