Vol. 261, No. 2, 2013

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The subrepresentation theorem for automorphic representations

Marcela Hanzer

Vol. 261 (2013), No. 2, 389–394
Abstract

We prove that every irreducible subrepresentation in the space of automorphic forms on G(𝔸), where G is a connected reductive group defined over a number field k, and 𝔸 is the related ring of adeles, is a subrepresentation of the representation induced from a cuspidal automorphic representation of a Levi subgroup.

Keywords
automorphic representation, subrepresentation, cuspidal representation
Mathematical Subject Classification 2010
Primary: 11F70
Milestones
Received: 8 October 2011
Revised: 23 July 2012
Accepted: 13 August 2012
Published: 20 March 2013
Authors
Marcela Hanzer
Department of Mathematics
University of Zagreb
Bijenička cesta 30
10000 Zagreb
Croatia