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Abstract
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We determine the composition series of the induced representation
where
satisfy
,
is an
irreducible cuspidal unitary representation of a general linear group and
is an
irreducible cuspidal representation of a classical group.
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Keywords
classical group, composition series, discrete series,
generalized principal representation, $p$-adic field,
Jacquet module
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Mathematical Subject Classification 2010
Primary: 22E50
Secondary: 11F85, 22D30
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Milestones
Received: 30 August 2017
Revised: 24 October 2017
Accepted: 24 January 2018
Published: 1 May 2018
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