Polytopal realizations of generalized associahedra
Combinatorics
2007-05-23 v1 Quantum Algebra
Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math/0202004,
title = {Polytopal realizations of generalized associahedra},
author = {Frederic Chapoton and Sergey Fomin and Andrei Zelevinsky},
journal= {arXiv preprint arXiv:math/0202004},
year = {2007}
}
Comments
25 pages