On the Lie envelopping algebra of a pre-Lie algebra

Simple item page
dc.creatorOudom, Jean-Michel
dc.creatorGuin, Daniel
dc.date2004-04-26
dc.date.accessioned2026-07-07T05:07:43Z
dc.date.available2026-07-07T05:07:43Z
dc.descriptionWe construct an associative product on the symmetric module S(L) of any pre-Lie algebra L. Then we proove that in the case of rooted trees our construction is dual to that of Connes and Kreimer. We also show that symmetric brace algebras and pre-Lie algebras are the same. Finally, using brace algebras instead of pre-Lie algebras, we give a similar interpretation of Foissy's Hopf algebra of planar rooted trees.
dc.identifierhttps://arxiv.org/abs/math/0404457
dc.identifierhttp://arxiv.org/abs/math/0404457
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70968
dc.subjectQuantum Algebra
dc.subject16W30 ; 16S30 ; 17B35 ; 05C05
dc.titleOn the Lie envelopping algebra of a pre-Lie algebra
dc.typetext

Files

Collections

arXiv