$On the Kottwitz-Shelstad normalization of transfer factors for automorphic induction for \mathrm{GL}_{n}$

On the Kottwitz-Shelstad normalization of transfer factors for automorphic induction for \mathrm{GL}_{n}

Automorphic induction for \mathrm{GL}_{n} is a case of endoscopic transfer, and its character identity was established by Henniart and Herb, up to a constant of proportionality. We determine this constant in terms of the Kottwitz-Shelstad normalization of transfer factors, which involves certain \va...

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Veröffentlicht in:	Nagoya mathematical journal 2012, Vol.208, p.97-144
Hauptverfasser:	Hiraga, Kaoru, Ichino, Atsushi
Format:	Artikel
Sprache:
Schlagworte:	22E50
Online-Zugang:	Volltext
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Zusammenfassung:	Automorphic induction for \mathrm{GL}_{n} is a case of endoscopic transfer, and its character identity was established by Henniart and Herb, up to a constant of proportionality. We determine this constant in terms of the Kottwitz-Shelstad normalization of transfer factors, which involves certain \varepsilon -factors.
ISSN:	2152-6842
DOI:	10.1215/00277630-1815222