Lie elements in pre-Lie algebras, trees and cohomology operations
arXiv:math/0509293
Abstract
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.
21 pages, LaTeX2e with jltmac2e style. Final version, to appear in Journal of Lie Theory