1 2 O ct 2 00 4 Complex structures on indecomposable 6 - dimensional nilpotent real Lie Algebras ∗

Abstract

We compute all complex structures on indecomposable 6-dimensional real Lie algebras and their equivalence classes. We also give for each of them a global holomorphic chart on the connected simply connected Lie group associated to the real Lie algebra and write down the multiplication in that chart. 

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