Some Hopf Algebras of Trees

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This 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.
24 pages, 3 figures

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Quantum Algebra, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/61748

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0106244
 http://arxiv.org/abs/math/0106244

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arXiv