ENGLISH

Local Newforms for GSp(4)

By Brooks Roberts , Ralf Schmidt (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2007
ISBN
354073323X, 978-3-540-73323-2
DOI
10.1007/978-3-540-73324-9
ISSN
0075-8434
Open Library ID
OL13573358M
Language
english
Format
PDF
Filesize
2 MB (1968054 bytes)
Series
Lecture notes in mathematics 1918
Edition
1
Pages
312\315
Topic
Mathematics Algebra
Library
mexmat
Time added
2009-07-20 03:45:11
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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