From Permutahedron to Associahedron
arXiv:0804.2331
Abstract
For each finite real reflection group , we identify a copy of the type- simplicial generalised associahedron inside the corresponding simplicial permutahedron. This defines a bijection between the facets of the generalised associahedron and the elements of the type non-crossing partition lattice which is more tractable than previous such bijections. We show that the simplicial fan determined by this associahedron coincides with the Cambrian fan for .
14 pages