Some dendriform functors

Frédéric Chapoton (1)

1 ICJ - Institut Camille Jordan

We make a first step towards categorification of the dendriform operad, using categories of modules over the Tamari lattices. This means that we describe some functors that correspond to part of the operad structure.

Mots clés: operad; dendriform algebra; functor; trees

Domaines: Algèbres quantiques [math.QA]

Frédéric Chapoton. Some dendriform functors. Opérades 2009, 2009, Luminy, France. pp.35-60. ⟨hal-00416775⟩