The operads of planar forests are Koszul

Loïc Foissy (1)

1 LMR - Laboratoire de Mathématiques de Reims

We describe the Koszul dual of two quadratic operads on planar forests introduced to study the infinitesimal Hopf algebra of planar rooted trees and prove that these operads are Koszul.

Mots clés: Koszul quadratic operads; planar rooted trees

Domaines: Anneaux et algèbres [math.RA]

Loïc Foissy. The operads of planar forests are Koszul. 2009. ⟨hal-00366681⟩