Representations of the Mautner group. I

Lawrence Wasson Baggett

Vol. 77 (1978), No. 1, 7–22

DOI: 10.2140/pjm.1978.77.7

Abstract

The five-dimensional connected Lie group known as the “Mautner group” is not of type I. In fact all of its irreducible unitary representations are not yet known. We present here a discussion of the known representations and produce a five-parameter family of new representations.

Mathematical Subject Classification 2000

Primary: 22E27

Secondary: 22D10

Milestones

Received: 28 October 1977

Published: 1 July 1978