%0 Journal Article %A Campoamor Stursberg, Otto-Rudwig %A Ovando, Gabriela P. %T Invariant Complex Structures on Tangent and Cotangent Lie Groups of Dimension Six %D 2012 %@ 0030-6126 %U https://hdl.handle.net/20.500.14352/43741 %X This paper deals with left invariant complex structures on simply connected Lie groups, the Lie algebra of which is of the type Th D hË V, where is either the adjoint or the coadjoint representation. The main topic is the existence question of complex structures on Th for h a three dimensional real Lie algebra. First it was proposed the study of complex structures J satisfying the constraint Jh D V. Whenever is the adjoint representation this kind of complex structures are associated to non-singular derivations of h. This fact allows different kinds of applications. %~