On Primitive Representations of Minimax Nilpotent Groups |
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Authors: | Tushev A. V. |
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Affiliation: | (1) Dnepropetrovsk, Ukraine |
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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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Keywords: | normal series minimax nilpotent group polycyclic group primitive module irreducible representation |
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