Leibniz homology of Lie algebras as functor homology

Eric Hoffbeck (1) , Christine Vespa (2)

1 LAGA - Laboratoire Analyse, Géométrie et Applications
2 IRMA - Institut de Recherche Mathématique Avancée

We prove that Leibniz homology of Lie algebras can be described as functor homology in the category of linear functors from a category associated to the Lie operad.

Mots clés: Functor homology; operads; Lie algebras; Leibniz homology

Domaines: Topologie algébrique [math.AT]; Catégories et ensembles [math.CT]

Eric Hoffbeck, Christine Vespa. Leibniz homology of Lie algebras as functor homology. Journal of Pure and Applied Algebra, 2015. ⟨hal-00935599v2⟩