Doubling zeta integrals and local factors for metaplectic groups

Doubling zeta integrals and local factors for metaplectic groups

We develop the theory of the doubling zeta integral of Piatetski-Shapiro and Rallis for metaplectic groups Mp2n , and we use it to give precise definitions of the local γ-factors, L-factors, and ε-factors for irreducible representations of Mp2n × GL1, following the footsteps of Lapid and Rallis.

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Veröffentlicht in:Nagoya mathematical journal 2012-12, Vol.208, p.67-95
1. Verfasser: Gan, Wee Teck
Format: Artikel
Sprache:eng
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Zusammenfassung:We develop the theory of the doubling zeta integral of Piatetski-Shapiro and Rallis for metaplectic groups Mp2n , and we use it to give precise definitions of the local γ-factors, L-factors, and ε-factors for irreducible representations of Mp2n × GL1, following the footsteps of Lapid and Rallis.
ISSN:0027-7630
2152-6842
DOI:10.1017/S002776300001059X