Nagoya Mathematical Journal

Doubling zeta integrals and local factors for metaplectic groups

Wee Teck Gan

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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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Nagoya Math. J., Volume 208 (2012), 67-95.

First available in Project Euclid: 5 December 2012

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Zentralblatt MATH identifier

Primary: 11F70: Representation-theoretic methods; automorphic representations over local and global fields 22E50: Representations of Lie and linear algebraic groups over local fields [See also 20G05]


Gan, Wee Teck. Doubling zeta integrals and local factors for metaplectic groups. Nagoya Math. J. 208 (2012), 67--95. doi:10.1215/00277630-1815213.

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