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Uniqueness of
Whittaker model for the metaplectic group
Dani Szpruch |
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Vol. 232 (2007), No. 2, 453–469
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Abstract |
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Let F be a local nonarchimedean field. We prove the uniqueness of the Whittaker model for irreducible admissible representations of Sp2n(F), the metaplectic double cover of Sp2n(F). An ingredient of the proof is an explicit extension of Rao’s normalized cocycle from Sp2n(F) to GSp2n(F). |
Keywords
Whittaker model, metaplectic group, Rao’s cocycle
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Mathematical Subject Classification 2000
Primary: 11F70
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Milestones
Received: 22 May 2006
Accepted: 4 December 2006
Published: 1 October 2007
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Authors |
| Dani Szpruch | |
| School of Mathematical
Sciences The Raymond and Beverly Sackler Faculty of Exact Sciences Tel Aviv University Tel Aviv 69978 Israel |
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