Artículos de revistas
Symplectic structures on nilmanifolds: an obstruction for its existence
Fecha
2014-08Registro en:
Symplectic structures on nilmanifolds: an obstruction for its existence; Heldermann Verlag; Journal Of Lie Theory; 24; 3; 8-2014; 889-908
0949-5932
CONICET Digital
CONICET
Autor
del Barco, Viviana Jorgelina
Resumen
In this work we introduce an obstruction for the existence of symplectic structures on nilpotent Lie algebras. Indeed, a necessary condition is presented in terms of the cohomology of the Lie algebra. Using this obstruction we obtain both positive and negative results on the existence of symplectic structures on a large family of nilpotent Lie algebras. Namely the family of nilradicals of minimal parabolic subalgebras associated to the real split Lie algebra of classical complex simple Lie algebras.