Geodesic
Lie Elements in Pre-Lie Algebras, Trees and Cohomology Operations
Martin Markl1
1Mathematical Institute, Czech Academy of Sciences, Zitná 25, 11567 Praha 1, Czech Republic
Journal of Lie Theory, Tome 17 (2007) no. 2, pp. 241-261

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

We give a simple characterization of Lie elements in free pre-Lie algebras as elements of the kernel of a map between spaces of trees. We explain how this result is related to natural operations on the Chevalley-Eilenberg complex of a Lie algebra. We also indicate a possible relation to Loday's theory of triplettes.
Classification : 17B01, 17B56
Mots-clés : Cohomology operations, pre-Lie algebras, Chevalley-Eilenberg complex

Martin Markl  1

1 Mathematical Institute, Czech Academy of Sciences, Zitná 25, 11567 Praha 1, Czech Republic 
Martin Markl. Lie Elements in Pre-Lie Algebras, Trees and Cohomology Operations. Journal of Lie Theory, Tome 17 (2007) no. 2, pp. 241-261. http://geodesic.mathdoc.fr/item/JOLT_2007_17_2_a1/
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     title = {Lie {Elements} in {Pre-Lie} {Algebras,} {Trees} and {Cohomology} {Operations}},
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