Some Hopf Algebras of Trees

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dc.creatorvan der Laan, Pepijn
dc.date2001-06-28
dc.date2002-01-08
dc.date.accessioned2026-07-07T04:42:21Z
dc.date.available2026-07-07T04:42:21Z
dc.descriptionThis paper generalizes the operadic construction of the Connes-Kreimer Hopf algebra of rooted trees by Moerdijk. Examples of Hopf algebras obtained in this way include the Loday-Ronco Hopf algebra of planar binary trees and the Brouder-Frabetti pruning Hopf algebra. In some examples we obtain a natural pre-Lie or dendriform algebra structure on the dual Hopf algebra. v2: Proof in section 8 corrected. v3: more corrections.
dc.description24 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0106244
dc.identifierhttp://arxiv.org/abs/math/0106244
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61748
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.titleSome Hopf Algebras of Trees
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