Displaying similar documents to “Minimal realizations of classical simple Lie algebras through deformations”

On the definition of the dual Lie coalgebra of a Lie algebra.

Bertin Diarra (1995)

Publicacions Matemàtiques

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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 m(V) ⊂ V ⊗ V, where m is the multiplication of L. We show that Lº = m(L* ⊗ L*) as in the associative case.