Journal of Lie Theory

no. 2
Complex Structures on Quasi-Filiform Lie Algebras
Journal of Lie Theory, Volume 19 (2009) no. 2, pp. 251-265
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].
DOI: 10.5802/jolt.551
Classification: 17B60, 53C56, 17B60
Keywords: Complex structures, generalized complex structures, quasi-filiform Lie algebras 
@article{JOLT_2009_19_2_a4,
     author = {L. Garc{\'\i}a Vergnolle and E. Remm},
     title = {Complex {Structures} on {Quasi-Filiform} {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {251--265},
     year = {2009},
     volume = {19},
     number = {2},
     doi = {10.5802/jolt.551},
     zbl = {1252.17007},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.551/}
}
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%A E. Remm
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L. García Vergnolle; E. Remm. Complex Structures on Quasi-Filiform Lie Algebras. Journal of Lie Theory, Volume 19 (2009) no. 2, pp. 251-265. doi: 10.5802/jolt.551

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