Geodesic
Complex Structures on Quasi-Filiform Lie Algebras
Journal of Lie theory, Tome 19 (2009) no. 2, pp. 251-265

Voir la notice de l'article provenant de la source Heldermann Verlag

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 by M. Goze and E. Remm [Non existence of complex structures on filiform Lie algebras, Comm. Algebra 30 (2002) 3777--3788].
Classification : 17B60, 53C56, 17B60
Mots-clés : Complex structures, generalized complex structures, quasi-filiform Lie algebras 
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     author = {L. Garc�a Vergnolle and E. Remm },
     title = {Complex {Structures} on {Quasi-Filiform} {Lie} {Algebras}},
     journal = {Journal of Lie theory},
     pages = {251--265},
     publisher = {mathdoc},
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     number = {2},
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L. Garc�a Vergnolle; E. Remm . Complex Structures on Quasi-Filiform Lie Algebras. Journal of Lie theory, Tome 19 (2009) no. 2, pp. 251-265. http://geodesic.mathdoc.fr/item/JLT_2009_19_2_JLT_2009_19_2_a4/