TY - JOUR TI - Existence of complex structures on decomposable Lie algebras AU - Sroka, Marcin TI - Existence of complex structures on decomposable Lie algebras AB - 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. VL - 2020 IS - Tom 57 PY - 2020 SN - 0083-4386 C1 - 2084-3828 SP - 25 EP - 58 DO - 10.4467/20843828AM.20.002.13312 UR - https://ejournals.eu/czasopismo/universitatis-iagellonicae-acta-mathematica/artykul/existence-of-complex-structures-on-decomposable-lie-algebras KW - Invariant complex structures KW - Lie algebras KW - homogeneous manifolds