ENGLISH

Local Newforms for GSp(4)

By Brooks Roberts , Ralf Schmidt (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2007
ISBN
354073323X, 9783540733232, 9783540733249
DOI
10.1007/978-3-540-73324-9
Open Library ID
OL13573358M
Language
english
Format
PDF
Filesize
4 MB (4045231 bytes)
Series
Lecture Notes in Mathematics 1918
Edition
1
Pages
312\315
Time added
2011-06-04 13:46:07
Lie GroupsNumber Theory; Topological Groups

Description

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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