Journal of Lie Theory

no. 2
Complex Structures on Quasi-Filiform Lie Algebras
Lucia García Vergnolle1; Elizabeth Remm1
1Lab. de Mathématiques, Université de Haute Alsace, Faculté des Sciences et Techniques, 4 Rue des Frères Lumière, 68093 Mulhouse, France
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

Lucia García Vergnolle  1 ; Elizabeth Remm  1

1 Lab. de Mathématiques, Université de Haute Alsace, Faculté des Sciences et Techniques, 4 Rue des Frères Lumière, 68093 Mulhouse, France 
Lucia García Vergnolle; Elizabeth 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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