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Some Hopf Algebras of Trees by van der Laan, Pepijn is a scholarly article available to read on EtoBox.

What is Some Hopf Algebras of Trees about?

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.

Author

van der Laan, Pepijn

Published

2001

Language

EN