Uniqueness of Whittaker model for the metaplectic group

Dani Szpruch

doi:10.2140/pjm.2007.232.453

Uniqueness of Whittaker model for the metaplectic group

Research output: Contribution to journal › Article › peer-review

Abstract

Let F be a local nonarchimedean field. We prove the uniqueness of the Whittaker model for irreducible admissible representations of Sp_2n(F), the metaplectic double cover of Sp_2n(F). An ingredient of the proof is an explicit extension of Rao's normalized cocycle from Sp_2n(F) to GSp_2n(F).

Original language	English
Pages (from-to)	453-469
Number of pages	17
Journal	Pacific Journal of Mathematics
Volume	232
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2007.232.453
State	Published - Oct 2007
Externally published	Yes

Keywords

Metaplectic group
Rao's cocycle
Whittaker model

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10.2140/pjm.2007.232.453

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abstract = "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).",

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KW - Rao's cocycle

KW - Whittaker model

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Uniqueness of Whittaker model for the metaplectic group

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