In this chapter we investigate the structure of paramodular vectors in nonsupercuspidal, irreducible, admissible representations (π, V ) with trivial central character. In all cases we determine the minimal paramodular level Nπ and prove that dim V (Nπ) = 1. In fact, we determine dim V (n) for all n ≥ Nπ and prove the Oldforms Principle.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
(2007). Non-supercuspidal Representations. In: Local Newforms for GSp(4). Lecture Notes in Mathematics, vol 1918. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73324-9_5
Download citation
DOI: https://doi.org/10.1007/978-3-540-73324-9_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-73323-2
Online ISBN: 978-3-540-73324-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)