Vol. 296, No. 1, 2018

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ISSN: 0030-8730
Composition series of a class of induced representations, a case of one half cuspidal reducibility

Igor Ciganović

Vol. 296 (2018), No. 1, 21–30
Abstract

We determine the composition series of the induced representation

δ([νbρ,νcρ]) × δ([ν1 2 ρ,νaρ]) σ,

where a,b,c 1 2(2 + 1) satisfy 1 2 a < b < c, ρ is an irreducible cuspidal unitary representation of a general linear group and σ is an irreducible cuspidal representation of a classical group.

Keywords
classical group, composition series, discrete series, generalized principal representation, $p$-adic field, Jacquet module
Mathematical Subject Classification 2010
Primary: 22E50
Secondary: 11F85, 22D30
Milestones
Received: 30 August 2017
Revised: 24 October 2017
Accepted: 24 January 2018
Published: 1 May 2018
Authors
Igor Ciganović
Department of Mathematics
Faculty of Science
University of Zagreb
Zagreb
Croatia