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

Published online by Cambridge University Press:  11 January 2016

Kaoru Hiraga  and
Atsushi Ichino
Kaoru Hiraga
Affiliation:
Department of Mathematics, Kyoto University, Kyoto 606-8502, Japan, hiraga@math.kyoto-u.ac.jp
Atsushi Ichino
Affiliation:
Department of Mathematics, Kyoto University, Kyoto 606-8502, Japan, ichino@math.kyoto-u.ac.jp
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Abstract

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Automorphic induction for GLn 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.

Keywords

22E50
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 208: Memorial Volume for Professor Hiroshi Saito , December 2012 , pp. 97 - 144
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2012

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