Abstract
We show, in particular, that in the class of minimax two-step nilpotent groups only finitely generated groups can admit exact irreducible primitive representations over a finitely generated field of characteristic zero. We also suggest some approaches to studying induced representations of nilpotent groups of finite rank.
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Tushev, A.V. On Primitive Representations of Minimax Nilpotent Groups. Mathematical Notes 72, 117–128 (2002). https://doi.org/10.1023/A:1019877307181
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DOI: https://doi.org/10.1023/A:1019877307181