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

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dc.creatorMarkl, Martin
dc.date2005-09-13
dc.date2006-07-18
dc.date.accessioned2026-07-07T06:43:01Z
dc.date.available2026-07-07T06:43:01Z
dc.descriptionWe 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.
dc.description21 pages, LaTeX2e with jltmac2e style. Final version, to appear in Journal of Lie Theory
dc.identifierhttps://arxiv.org/abs/math/0509293
dc.identifierhttp://arxiv.org/abs/math/0509293
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102261
dc.subjectAlgebraic Topology
dc.subjectK-Theory and Homology
dc.titleLie elements in pre-Lie algebras, trees and cohomology operations
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