The dual pair (U(1),U(1)) over a p-adic field

Courtney Hughes Moen

Vol. 158 (1993), No. 2, 365–386

DOI: 10.2140/pjm.1993.158.365

Abstract

We find an explicit decomposition for the metaplectic representation restricted to either member of the dual reductive pair (U(1),U(1)) in SL(2,F), where F is a p-adic field, with p odd.

Mathematical Subject Classification 2000

Primary: 22E50

Secondary: 11F27, 11F70

Milestones

Received: 14 August 1991

Published: 1 April 1993