On certain multiplicity one theorems

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dc.creatorAdler, Jeffrey D.
dc.creatorPrasad, Dipendra
dc.date2004-09-30
dc.date.accessioned2026-07-07T07:37:45Z
dc.date.available2026-07-07T07:37:45Z
dc.descriptionWe prove several multiplicity one theorems in this paper. For k a local field not of characteristic two, and V a symplectic space over k, any irreducible admissible representation of the symplectic similitude group GSp(V) decomposes with multiplicity one when restricted to the symplectic group Sp(V). We prove the analogous result for GO(V) and O(V), where V is an orthogonal space over k. When k is non-archimedean, we prove the uniqueness of Fourier-Jacobi models for representations of GSp(4), and the existence of such models for supercuspidal representations of GSp(4).
dc.identifierhttps://arxiv.org/abs/math/0410002
dc.identifierhttp://arxiv.org/abs/math/0410002
dc.identifierIsrael J. Math. 153 (2006), 221-245
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120882
dc.subjectRepresentation Theory
dc.subjectNumber Theory
dc.subject22E50; 11F70
dc.titleOn certain multiplicity one theorems
dc.typetext

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