Notes on representations of non-Archimedean SL(n)

Marko Tadić

Vol. 152 (1992), No. 2, 375–396

DOI: 10.2140/pjm.1992.152.375

Abstract

Let F be a non-archimedean local field. In this paper the relation between irreducible representations of GL(n,F) and SL(n,F) is studied. Using the results on GL(n,F) a parametrization of (various classes of) irreducible representations of SL(n,F) by parameters expressed in terms of cuspidal representations of GL(n,F) is obtained.

Mathematical Subject Classification 2000

Primary: 22E50

Milestones

Received: 7 October 1988

Published: 1 February 1992