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

Autores: Bertin Diarra
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 39, Nº 2, 1995, págs. 349-354
Idioma: inglés
DOI: 10.5565/publmat_39295_10
Títulos paralelos:
- Definición del coálgebra dual de Lie de un álgebra de Lie
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Resumen
- 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.