Geodesic
Lie Elements in Pre-Lie Algebras, Trees and Cohomology Operations
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 
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     author = {M. Markl },
     title = {Lie {Elements} in {Pre-Lie} {Algebras,} {Trees} and {Cohomology} {Operations}},
     journal = {Journal of Lie theory},
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     volume = {17},
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     year = {2007},
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M. 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/JLT_2007_17_2_JLT_2007_17_2_a1/