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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…
Lie bialgebras of complex type and associated Poisson Lie groups
A. Andrada, M. L. Barberis, G. Ovando
In this work we study a particular class of Lie bialgebras arising from Hermitian structures on Lie algebras such that the metric is ad-invariant. We will refer to them as Lie bial…
Four dimensional symplectic Lie algebras
Gabriela P. Ovando
In this paper we deal with symplectic Lie algebras. All symplectic structures are determined for dimension four and the corresponding Lie algebras are classified up to equivalence.…
Complex, symplectic and Kaehler structures on four dimensional Lie groups
Gabriela Ovando
In this work we deal with left invariant complex and symplectic structures on simply connected four dimensional solvable real Lie groups. We search the general form of such structu…