On Primitive Representations of Minimax Nilpotent Groups
Matematičeskie zametki, Tome 72 (2002) no. 1, pp. 131-144
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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.
@article{MZM_2002_72_1_a11,
author = {A. V. Tushev},
title = {On {Primitive} {Representations} of {Minimax} {Nilpotent} {Groups}},
journal = {Matemati\v{c}eskie zametki},
pages = {131--144},
publisher = {mathdoc},
volume = {72},
number = {1},
year = {2002},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2002_72_1_a11/}
}
A. V. Tushev. On Primitive Representations of Minimax Nilpotent Groups. Matematičeskie zametki, Tome 72 (2002) no. 1, pp. 131-144. http://geodesic.mathdoc.fr/item/MZM_2002_72_1_a11/