Lie elements in pre-Lie algebras, trees and cohomology operations

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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

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Algebraic Topology, K-Theory and Homology

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http://salesiana.dossiersoluciones.com/handle/123456789/102261

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509293
 http://arxiv.org/abs/math/0509293

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arXiv