#### Vol. 289, No. 2, 2017

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On Langlands quotients of the generalized principal series isomorphic to their Aubert duals

### Ivan Matić

Vol. 289 (2017), No. 2, 395–415
DOI: 10.2140/pjm.2017.289.395
##### Abstract

We determine under which conditions is the Langlands quotient of an induced representation of the form $\delta ⋊\sigma$, where $\delta$ is an irreducible essentially square-integrable representation of a general linear group and $\sigma$ is a discrete series representation of the classical $p$-adic group, isomorphic to its Aubert dual.

##### Keywords
discrete series, classical $p$-adic groups, Aubert involution
##### Mathematical Subject Classification 2010
Primary: 22E35
Secondary: 11F70, 22E50
##### Milestones
Received: 21 October 2016
Revised: 10 February 2017
Accepted: 28 February 2017
Published: 19 June 2017
##### Authors
 Ivan Matić Department of Mathematics University of Osijek Trg Ljudevita Gaja 6 31000 Osijek Croatia