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On Induced Representations Distinguished by Orthogonal Groups
Published online by Cambridge University Press: 20 November 2018
Abstract.
Let $F$ be a local non-archimedean field of characteristic zero. We prove that a representation of
$GL\left( n,\,F \right)$ obtained from irreducible parabolic induction of supercuspidal representations is distinguished by an orthogonal group only if the inducing data is distinguished by appropriate orthogonal groups. As a corollary, we get that an irreducible representation induced from supercuspidals that is distinguished by an orthogonal group is metic.
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- Copyright © Canadian Mathematical Society 2013
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