On representations of discrete, finitely generated, torsion-free, nilpotent groups

Abstract

With A. A. Kirillov’s work on the representations of nilpotent lie groups, a new chapter in the theory of group representations opened. Subsequent papers of Bernat, Moore and Auslander-Kostant have further demonstrated the power of the methods introduced by Kirillov. The purpose of this paper is to begin an extension of these methods in yet another direction. Specifically, the object here is to calculate the primitive ideal spaces of the groups indicated in the title. © 1977, University of California, Berkeley. All Rights Reserved.