Pre-Lie algebras and the rooted trees operad

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dc.creatorChapoton, Frederic
dc.creatorLivernet, Muriel
dc.date2000-02-10
dc.date2000-06-29
dc.date.accessioned2026-07-07T04:33:39Z
dc.date.available2026-07-07T04:33:39Z
dc.descriptionA Pre-Lie algebra is a vector space L endowed with a bilinear product * : L \times L to L satisfying the relation (x*y)*z-x*(y*z)= (x*z)*y-x*(z*y), for all x,y,z in L. We give an explicit combinatorial description in terms of rooted trees of the operad associated to this type of algebras and prove that it is a Koszul operad.
dc.description13 pages, uses xypic, typos corrected and more explicit description of the free algebra
dc.identifierhttps://arxiv.org/abs/math/0002069
dc.identifierhttp://arxiv.org/abs/math/0002069
dc.identifierIMRN 2001 vol. 8 p 395-408
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58658
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject18D50; 17B60; 17D65; 05C05
dc.titlePre-Lie algebras and the rooted trees operad
dc.typetext

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