Frederic Chapoton, Sergey Fomin, Andrei Zelevinsky
Published 2002-02-01Version 1
In hep-th/0111053, a complete simplicial fan was associated to an arbitrary finite root system. It was conjectured that this fan is the normal fan of a simple convex polytope (a generalized associahedron of the corresponding type). Here we prove this conjecture by explicitly exhibiting a family of such polytopal realizations.
Representations of cyclic groups acting on complete simplicial fans
Permutahedra and generalized associahedra
Polytopal realizations of finite type $\mathbf{g}$-vector fans
![QR code for arXiv:math/0202004 [math.CO]](http://oss.arxitics.com/images/favicon.svg)