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Kirillov Theory for a Class of Discrete Nilpotent Groups

Open Access article
 Printed: Aug 2004
  • Haryono Tandra
  • William Moran
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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 show english descriptions Unitary representations of locally compact groups 22D10 - Unitary representations of locally compact groups

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