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, Volume 156, Issue 1–2, pp 23–55 | Cite as

Jacquet modules and irrreducibility of induced representations for classical p-adic groups

  • Chris Jantzen


Let G be a classical p-adic group. If T is an irreducible tempered representation of such a group and \(\rho \) an irreducible unitary supercuspidal representation of a general linear group, we can form the parabolically induced representation \(\text{ Ind }_P^G (|det|^y \rho \otimes T)\). The main result in this paper is the determination for which \(y \in {\mathbb R}\) the induced representation is reducible. The key technical result in establishing this is the determination of a certain Jacquet module subquotient.

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© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.Department of MathematicsEast Carolina UniversityGreenvilleUSA

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