Abstract
We study complex product structures on nilpotent Lie algebras, establishing some of their main properties, and then we restrict ourselves to 6 dimensions, obtaining the classification of 6-dimensional nilpotent Lie algebras admitting such structures. A study is made of the torsion-free connection associated to the complex product structure, and we consider also the associated foliations on the corresponding simply connected nilpotent Lie groups.
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