Enumerative properties of generalized associahedra

Abstract

Some enumerative aspects of the fans, called generalized associahedra, introduced by S. Fomin and A. Zelevinsky in their theory of cluster algebras are considered, in relation with a bicomplex and its two spectral sequences. A precise enumerative relation with the lattices of generalized noncrossing partitions is conjectured and some evidence is given.

15 pages

Cited by in corpus (1)

• Non-crossing partitions of type (e,e,r)