Complex structures on quasi-filiform nilpotent Lie algebras

2008/05/13 by Lucia Garcia-Vergnolle, Garcia-Vergnolle, Lucia, Elisabeth Remm +1
Mathematics · #17B30 #22E15 #53C56 #Differential Geometry (math.DG) #FOS: Mathematics #Rings and Algebras (math.RA) #math.DG #math.RA #msc:17B30 #msc:22E15 #msc:53C56

paper · pdf · doi:10.48550/arxiv.0805.1833

In French

arxiv created 2008/05/13 · arxiv updated 2009/12/01

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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