Polytopal realizations of generalized associahedra

Preprint

1 February 2002

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0202004

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

GENERALIZED ASSOCIAHEDRA
POLYTOPAL REALIZATIONS
COMPLETE SIMPLICIAL
HEP TH/0111053
CONJECTURED
ROOT SYSTEM
TH/0111053

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