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Doubling zeta integrals and local factors for metaplectic groups

Published online by Cambridge University Press:  11 January 2016

Wee Teck Gan*
Affiliation:
Department of Mathematics, National University of Singapore, Singapore 119076, [email protected]
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Abstract

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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.

Keywords

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2012

References

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