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On the root number of representations of orthogonal type

Published online by Cambridge University Press:  04 December 2007

Erez M. Lapid
Erez M. Lapid
Affiliation:
Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem 91904, Israelerezla@math.huji.ac.il
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Abstract

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Let $\pi$ be a generic irreducible representation of either a symplectic group or a split special even orthogonal group over a local field of characteristic zero. We prove that $\varepsilon(\frac12,\pi,\psi)=\pi(-1)$.

Keywords

automorphic representationsroot numbers11F7011S37
Type
Research Article
Information
Compositio Mathematica , Volume 140 , Issue 2 , March 2004 , pp. 274 - 286
Copyright
Foundation Compositio Mathematica 2004