Kirillov Theory for a Class of Discrete Nilpotent Groups

[摘要] This paper is concerned with the Kirillov map for a class oftorsion-free nilpotent groups $G$. $G$ is assumed to be discrete,countable and $pi$-radicable, with $pi$ containing the primesless than or equal to the nilpotence class of $G$. In addition,it is assumed that all of the characters of $G$ have idempotentabsolute value. Such groups are shown to be plentiful.

[学科分类] 数学（综合）