Characterization of γ-factors: The asai case

Guy Henniart, Luis Lomelí

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

6 Citas (Scopus)

Resumen

Let E be a separable quadratic extension of a locally compact field F of positive characteristic. Asai γ-factors are defined for smooth irreducible representations π of GLn(E). If σ is the Weil-Deligne representation of corresponding to π under the local Langlands correspondence, we show that the Asai γ-factor is the same as the Deligne-Langlands γ-factor of the Weil-Deligne representation of obtained from σ under tensor induction. This is achieved by proving that Asai γ-factors are characterized by their local properties together with their role in global functional equations for L-functions. As an immediate application, we establish the stability property of γ-factors under twists by highly ramified characters.

Idioma originalInglés
Páginas (desde-hasta)4085-4099
Número de páginas15
PublicaciónInternational Mathematics Research Notices
Volumen2013
N.º17
DOI
EstadoPublicada - 1 ene 2013
Publicado de forma externa

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