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ENDOSCOPIC REPRESENTATIONS OF $\widetilde{\mathrm{Sp}}_{2n}$

Published online by Cambridge University Press:  24 January 2003

David Ginzburg ,
Stephen Rallis  and
David Soudry
David Ginzburg
Affiliation:
School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel
Stephen Rallis
Affiliation:
Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA
David Soudry
Affiliation:
School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel
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Abstract

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In this paper, we construct explicitly endoscopic representations of $\widetilde{\mathrm{Sp}}_{2n}$, the metaplectic cover of a symplectic group of rank $n$. We do this in the automorphic case, and also in the local case, over a $p$-adic field.

AMS 2000 Mathematics subject classification: Primary 11F70

Keywords

metaplectic groupsFourier–Jacobi coefficients$L$-functionsfunctorialityendoscopy
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 1 , Issue 1 , January 2002 , pp. 77 - 123
Copyright
2002 Cambridge University Press