Geodesic
Non-Abelian Cohomology and Extensions of Lie Algebras
Journal of Lie theory, Tome 18 (2008) no. 2, pp. 413-432.

Voir la notice de l'article provenant de la source Heldermann Verlag

We introduce the second non-abelian cohomology of Lie algebras with coefficients in crossed modules using the generalised notion of Lie algebra of derivations, and establish a relationship of this cohomology with Lie algebra extensions by crossed modules. We extend the seven-term exact non-abelian cohomology sequence of Guin to a nine-term exact sequence.
Classification : 17B40, 17B56, 18G10, 18G50
Mots-clés : Derivations, crossed modules, non-abelian cohomology, extensions of Lie algebras 
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N. Inassaridze; E. Khmaladze; M. Ladra . Non-Abelian Cohomology and Extensions of Lie Algebras. Journal of Lie theory, Tome 18 (2008) no. 2, pp. 413-432. http://geodesic.mathdoc.fr/item/JLT_2008_18_2_JLT_2008_18_2_a10/