Explicit Whittaker data for essentially tame supercuspidal representations

Tam, Geo Kam-Fai

doi:10.2140/pjm.2019.301.617

Pacific J. Math.

2019

DOI: 10.2140/pjm.2019.301.617

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Explicit Whittaker data for essentially tame supercuspidal representations

Geo Kam-Fai Tam

Abstract: Based on the ideas of Bushnell-Henniart and Paskunas-Stevens, we construct explicit Whittaker data for an essentially tame supercuspidal representation of GLn(F ), where F is a non-Archimedean local field.

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2022

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The Langlands-Shahidi method for pairs via types and covers

Krishnamurthy

2022

Represent. Theory

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We compute the local coefficient attached to a pair ( π 1 , π 2 ) (\pi _1,\pi _2) of supercuspidal (complex) representations of the general linear group using the theory of types and covers à la Bushnell-Kutzko. In the process, we obtain another proof of a well-known formula of Shahidi for the corresponding Plancherel constant. The approach taken here can be adapted to other situations of arithmetic interest within the context of the Langlands-Shahidi method, particularly to that of a Siegel Levi subgroup inside a classical group.

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The Langlands-Shahidi method for pairs via types and covers

Krishnamurthy

2022

Represent. Theory

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Explicit Whittaker data for essentially tame supercuspidal representations

Abstract: Based on the ideas of Bushnell-Henniart and Paskunas-Stevens, we construct explicit Whittaker data for an essentially tame supercuspidal representation of GLn(F ), where F is a non-Archimedean local field.

Cited by 1 publication

References 16 publications

The Langlands-Shahidi method for pairs via types and covers

The Langlands-Shahidi method for pairs via types and covers

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