A comparison of the automorphic representations of GL(3) and its twisted forms

Daniel Evans Flath

Vol. 97 (1981), No. 2, 373–402

DOI: 10.2140/pjm.1981.97.373

Abstract

Jacquet and Langlands have proved the existence of a deep relationship between the representation theory of the group GL(2) over a local or global field and of the group of invertible elements in a quaternion algebra over the same field. It is the purpose of this thesis to extend these results to the case of GL(3) and a central division algebra of rank 3².

Mathematical Subject Classification 2000

Primary: 22E50

Secondary: 22E55, 10D40

Milestones

Received: 13 May 1980

Published: 1 December 1981