Nagoya Mathematical Journal

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

Kaoru Hiraga and Atsushi Ichino

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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.

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Nagoya Math. J., Volume 208 (2012), 97-144.

First available in Project Euclid: 5 December 2012

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Zentralblatt MATH identifier

Primary: 22E50: Representations of Lie and linear algebraic groups over local fields [See also 20G05]


Hiraga, Kaoru; Ichino, Atsushi. On the Kottwitz-Shelstad normalization of transfer factors for automorphic induction for $\mathrm{GL}_{n}$. Nagoya Math. J. 208 (2012), 97--144. doi:10.1215/00277630-1815222.

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