English

Complex structures on quasi-filiform nilpotent Lie algebras

Rings and Algebras 2008-05-14 v1 Differential Geometry

Abstract

We present the classification of real nilpotent quasi-filiform Lie algebras endowed with a complex structure. A nilpotent Lie algebra g is called quasi-filiform is the nilindex is equal to dim(n)-2. We recall that the filiform case (nilindex =dim(g)-1) has already been studied.

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Cite

@article{arxiv.0805.1833,
  title  = {Complex structures on quasi-filiform nilpotent Lie algebras},
  author = {Lucia Garcia-Vergnolle and Elisabeth Remm},
  journal= {arXiv preprint arXiv:0805.1833},
  year   = {2008}
}

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In French

R2 v1 2026-06-21T10:39:53.372Z