This article classifies complex structures in quasi-filiform nilpotent Lie algebras, indicating the existence of such structures under specific conditions.
The aim of this article is to classify quasi-filiform nilpotent Lie algebras g, that is with nilindex dim g -2 , admitting a complex structure.Note that the non-existence of complex structures over nilpotent Lie algebras of maximal class, also called filiform, has already been proved in [7].
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Vergnolle et al. (2009) studied this question.
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