Polyhedral models for generalized associahedra via Coxeter elements
Motivated by the theory of cluster algebras, F. Chapoton, S. Fomin, and A. Zelevinsky associated to each finite type root system a simple convex polytope, called generalized associahedron. They provided an explicit realization of this polytope associated with a bipartite orientation of the corresponding Dynkin diagram.
generalized associahedra cluster algebras cluster complexes g-vectors c-sortability cambrian fans