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Journal of Lie Theory 14 (2004), No. 1, 025--034
Copyright Heldermann Verlag 2004

Abelian Complex Structures on Solvable Lie Algebras

M. L. Barberis
CIEM - FaMAF, Universidad Nacional de Córdoba, Ciudad Universitaria, 5000 Córdoba, Argentina, barberis@mate.uncor.edu

I. Dotti
CIEM - FaMAF, Universidad Nacional de Córdoba, Ciudad Universitaria, 5000 Córdoba, Argentina

We obtain a characterization of the Lie algebras admitting abelian complex structures in terms of certain affine Lie algebras aff(A), where A is a commutative algebra.

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