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 
@article{JLT_2007_17_2_JLT_2007_17_2_a1,
     author = {M. Markl },
     title = {Lie {Elements} in {Pre-Lie} {Algebras,} {Trees} and {Cohomology} {Operations}},
     journal = {Journal of Lie theory},
     pages = {241--261},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2007},
     url = {http://geodesic.mathdoc.fr/item/JLT_2007_17_2_JLT_2007_17_2_a1/}
}
TY  - JOUR
AU  - M. Markl 
TI  - Lie Elements in Pre-Lie Algebras, Trees and Cohomology Operations
JO  - Journal of Lie theory
PY  - 2007
SP  - 241
EP  - 261
VL  - 17
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JLT_2007_17_2_JLT_2007_17_2_a1/
ID  - JLT_2007_17_2_JLT_2007_17_2_a1
ER  - 
%0 Journal Article
%A M. Markl 
%T Lie Elements in Pre-Lie Algebras, Trees and Cohomology Operations
%J Journal of Lie theory
%D 2007
%P 241-261
%V 17
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JLT_2007_17_2_JLT_2007_17_2_a1/
%F JLT_2007_17_2_JLT_2007_17_2_a1
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/