Families of Hopf algebras of trees and pre-Lie algebras
Pepijn van der Laan, Ieke Moerdijk
TL;DR
This paper explores various Hopf algebra structures on coloured trees, employing methods from previous mathematical physics research to deepen understanding of their algebraic properties.
Contribution
It introduces new families of Hopf algebras on coloured trees, expanding the algebraic framework related to pre-Lie algebras.
Findings
Identified novel Hopf algebra structures on coloured trees
Connected Hopf algebras to pre-Lie algebra frameworks
Extended previous methods to new algebraic contexts
Abstract
Using methods from math-ph/9907010, we study families of Hopf algebra structures on coloured trees.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models