%0 Journal Article %T Existence of complex structures on decomposable Lie algebras %A Sroka, Marcin %J Universitatis Iagellonicae Acta Mathematica %V 2020 %R 10.4467/20843828AM.20.002.13312 %N Tom 57 %P 25-58 %K Invariant complex structures, Lie algebras, homogeneous manifolds %@ 0083-4386 %D 2020 %U https://ejournals.eu/czasopismo/universitatis-iagellonicae-acta-mathematica/artykul/existence-of-complex-structures-on-decomposable-lie-algebras %X We provide the classification of the six-dimensional decomposable Lie algebras, with the dimension of the biggest indecomposable summand less than five, admitting complex structures.  2010 Mathematics Subject Classification. 17B40, 53C15, 53C30.