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.
KeywordsParabolic Subgroup Invariant Vector Double Coset Type IIIb Admissible Representation
Unable to display preview. Download preview PDF.