On Kirillov's lemma for nilpotent Lie algebras

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Abstract

We establish a sharpening of Kirillov's lemma on nilpotent Lie algebras with 1-dimensional center and use it to study the structure of 3-step nilpotent Lie algebras.

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Beltiţă, I., & Beltiţă, D. (2015). On Kirillov’s lemma for nilpotent Lie algebras. Journal of Algebra, 427, 85–103. https://doi.org/10.1016/j.jalgebra.2014.12.026

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