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.
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© 2007 Springer-Verlag Berlin Heidelberg
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(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
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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
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