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Relating Two Hopf Algebras Built from An Operad

Relating Two Hopf Algebras Built from An Operad

Starting from an operad, one can build a family of posets. From this family of posets, one can define an incidence Hopf algebra. By another construction, one can also build a group directly from the operad. We then consider its Hopf algebra of functions. We prove that there exists a …