SEMINAIRE Mulhousien de MATHEMATIQUES

résumé/abstract


Gabriela Ovando (Córdoba, Argentine)

Complex structures on Lie algebras

 

The existence of a complex structure on a differentiable manifold is a difficult problem to solve. In the case of Lie groups the usual question is the existence of a left invariant complex structure. This allows to transport the question at the Lie algebra level. The classification of complex structures on Lie algebras of dimension two and four is known. In dimension six it was already given for the nilpotent Lie algebras. In higher dimension partial results are given. Our aim is to explain the difficulties of this problem and the main techniques which are useful to treat with it. We also expose  results obtained by researchers  working in this topic.

 

 


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Dernières modifications / Last modifications :  27 Février 2008