Vol. 248, No. 1, 2010

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The unitary dual of p-adic Sp(2)

Marcela Hanzer and Ivan Matić

Vol. 248 (2010), No. 1, 107–137
Abstract

We investigate the composition series of the induced admissible representations of the metaplectic group Sp(2) over a p-adic field F. In this way, we determine the nonunitary and unitary duals of Sp(2) modulo cuspidal representations.

Keywords
metaplectic groups, unitary dual, theta correspondence
Mathematical Subject Classification 2000
Primary: 22E35, 22E50
Secondary: 11F70
Milestones
Received: 16 July 2009
Revised: 10 November 2009
Accepted: 8 December 2009
Published: 1 October 2010
Authors
Marcela Hanzer
Department of Mathematics,
University of Zagreb
Zagreb
Croatia
http://web.math.hr/~hanmar
Ivan Matić
Department of Mathematics
University of Osijek
Trg Ljudevita Gaja 6
Osijek
Croatia
http://www.mathos.hr/~imatic