The residual spectrum of inner forms of Sp(2)

Takanori Yasuda

Vol. 232 (2007), No. 2, 471–490

DOI: 10.2140/pjm.2007.232.471

Abstract

Let G be the unitary group of the hyperbolic hermitian space with rank two over a quaternion division algebra over a totally real number field. We determine the irreducible decomposition of the residual discrete spectrum of G. Finally we give expected description of Arthur parameters associated to these representations.

Keywords

residual spectrum, hermitian Morita theory, theta correspondence

Mathematical Subject Classification 2000

Primary: 11F70, 11F72

Secondary: 11F27

Milestones

Received: 19 March 2006

Revised: 28 August 2006

Accepted: 27 March 2007

Published: 1 October 2007