Vol. 97, No. 2, 1981

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

Daniel Evans Flath

Vol. 97 (1981), No. 2, 373–402
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
Authors
Daniel Evans Flath