Resumen de On the definition of the dual Lie coalgebra of a Lie algebra

Bertin Diarra

• Let L be a Lie algebra over a field K. The dual Lie coalgebra Lº of L has been defined by W. Michaelis to be the sum of all good subspaces V of the dual space L* of L: V is good if tm(V) Ì V Ä V, where m is the multiplication of L. We show that Lº = tm-1(L* Ä L*) as in the associative case.