Geodesic
A Symmetric Version of Kontsevich Graph Complex and Leibniz Homology
Emily Burgunder1
1Institut de Mathématiques et de Modélisation, Université de Montpellier, Place Eugène Bataillon, 34095 Montpellier, France
Journal of Lie Theory, Tome 20 (2010) no. 1, pp. 127-165

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

Kontsevich has proven that the Lie homology of the Lie algebra of symplectic vector fields can be computed in terms of the homology of a graph complex. We prove that the Leibniz homology of this Lie algebra can be computed in terms of the homology of a variant of the graph complex endowed with an action of the symmetric groups. The resulting isomorphism is shown to be a Zinbiel-associative bialgebra isomorphism.
Classification : 16E40, 16W22, 05C90
Mots-clés : Kontsevich graph complex, Leibniz homology, graph homology, Zinbiel-associative bialgebras, co-invariant theory

Emily Burgunder  1

1 Institut de Mathématiques et de Modélisation, Université de Montpellier, Place Eugène Bataillon, 34095 Montpellier, France 
Emily Burgunder. A Symmetric Version of Kontsevich Graph Complex and Leibniz Homology. Journal of Lie Theory, Tome 20 (2010) no. 1, pp. 127-165. http://geodesic.mathdoc.fr/item/JOLT_2010_20_1_a8/
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