On the Kottwitz-Shelstad normalization of transfer factors for automorphic induction for GL n

On the Kottwitz-Shelstad normalization of transfer factors for automorphic induction for GL n

Automorphic induction for 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 ε-factors.

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Veröffentlicht in:Nagoya mathematical journal 2012-12, Vol.208, p.97-144
Hauptverfasser: Hiraga, Kaoru, Ichino, Atsushi
Format: Artikel
Sprache:eng
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Zusammenfassung:Automorphic induction for 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 ε-factors.
ISSN:0027-7630
2152-6842
DOI:10.1017/S0027763000010606