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On Kirillov's lemma for nilpotent Lie algebras

Representation Theory 2015-01-16 v2

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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Cite

@article{arxiv.1308.3632,
  title  = {On Kirillov's lemma for nilpotent Lie algebras},
  author = {Ingrid Beltita and Daniel Beltita},
  journal= {arXiv preprint arXiv:1308.3632},
  year   = {2015}
}

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15 pages