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arxiv: 1308.3632 · v2 · pith:IQEVVQPVnew · submitted 2013-08-16 · 🧮 math.RT

On Kirillov's lemma for nilpotent Lie algebras

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keywords algebrasnilpotentkirillovlemmacenterdimensionalestablishsharpening
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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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