Computation of the local coefficients for principal series representations of the metaplectic double cover of SL2 (F)

Dani Szpruch

doi:10.1016/j.jnt.2009.01.024

Computation of the local coefficients for principal series representations of the metaplectic double cover of SL₂ (F)

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

Abstract

Let F be a local field. In this paper we compute the local coefficients arising from the uniqueness of the Whittaker model for principal series representations of the metaplectic double cover of SL₂ (F). Our computations include the relatively hard case of p-adic field of even residual characteristic.

Original language	English
Pages (from-to)	2180-2213
Number of pages	34
Journal	Journal of Number Theory
Volume	129
Issue number	9
DOIs	https://doi.org/10.1016/j.jnt.2009.01.024
State	Published - Sep 2009
Externally published	Yes

Keywords

Local coefficients
The metaplectic group

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10.1016/j.jnt.2009.01.024

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abstract = "Let F be a local field. In this paper we compute the local coefficients arising from the uniqueness of the Whittaker model for principal series representations of the metaplectic double cover of SL2 (F). Our computations include the relatively hard case of p-adic field of even residual characteristic.",

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author = "Dani Szpruch",

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KW - The metaplectic group

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JO - Journal of Number Theory

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Computation of the local coefficients for principal series representations of the metaplectic double cover of SL₂ (F)

Abstract

Keywords

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