Metaplectic tori over local fields

Martin H. Weissman

Vol. 241 (2009), No. 1, 169–200

DOI: 10.2140/pjm.2009.241.169

Abstract

Smooth irreducible representations of tori over local fields have been parameterized by Langlands, using class field theory and Galois cohomology. This paper extends this parameterization to some central extensions of such tori, which arise naturally in the setting of nonlinear covers of reductive groups.

Keywords

metaplectic, torus, Langlands, local field

Mathematical Subject Classification 2000

Primary: 11F70, 22E50

Milestones

Received: 7 November 2008

Accepted: 10 February 2009

Published: 1 May 2009