PIRASHVILI'S CONJECTURE ON THE LEIBNIZ HOMOLOGY FOR LIE ALGEBRAS
Résumé
We prove a conjecture of Pirashvili, which says that a non-trivial finite-dimensional complex Lie algebra g is semisimple if and only if its Leibniz (co)homology with trivial coefficients vanishes. We also prove several results on the Lie and Leibniz cohomology of perfect and complete Lie algebras.
Domaines
Topologie algébrique [math.AT]
Origine : Fichiers produits par l'(les) auteur(s)
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