Non-supercuspidal Representations

Part of the Lecture Notes in Mathematics book series (LNM, volume 1918)

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 and prove that dim V () = 1. In fact, we determine dim V (n) for all n ≥ Nπ and prove the Oldforms Principle.


Parabolic Subgroup Invariant Vector Double Coset Type IIIb Admissible Representation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

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