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math.DG2014
Extending invariant complex structures
Rutwig Campoamor Stursberg, Isolda E. Cardoso, Gabriela P. Ovando
We study the problem of extending a complex structure to a given Lie algebra g, which is firstly defined on an ideal h of g. We consider the next situations: h is either complex or…
math.DG2008★ 1 cited
Complex structures on tangent and cotangent Lie algebras of dimension six
Rutwig Campoamor Stursberg, Gabriela P. Ovando
This paper deals with complex structures on Lie algebras $\ct_π \hh=\hh \ltimes_π V$, where is either the adjoint or the coadjoint representation. The main topic is the existen…