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# Kirillov Theory for a Class of Discrete Nilpotent Groups

Published:2004-08-01
Printed: Aug 2004
• Haryono Tandra
• William Moran
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## Abstract

This paper is concerned with the Kirillov map for a class of torsion-free nilpotent groups $G$. $G$ is assumed to be discrete, countable and $\pi$-radicable, with $\pi$ containing the primes less than or equal to the nilpotence class of $G$. In addition, it is assumed that all of the characters of $G$ have idempotent absolute value. Such groups are shown to be plentiful.
 MSC Classifications: 22D10 - Unitary representations of locally compact groups