TY - JOUR
T1 - h-Vectors of generalized associahedra and noncrossing partitions
AU - Athanasiadis, Christos A.
AU - Brady, Thomas
AU - McCammond, Jon
AU - Watt, Colum
PY - 2006
Y1 - 2006
N2 - A uniform proof is given that the entries of theh-vector of the cluster complex (Φ), associated by S. Fomin and A. Zelevinsky to a finite root system Φ, count elements of the lattice L of noncrossing partitions of corresponding type by rank. Similar interpretations for theh-vector of the positive part of (Φ) are provided.The proof utilizes the appearance of the complex (Φ) in the context of the lattice L in recent work of two of the authors, as well as an explicit shelling of (Φ).
AB - A uniform proof is given that the entries of theh-vector of the cluster complex (Φ), associated by S. Fomin and A. Zelevinsky to a finite root system Φ, count elements of the lattice L of noncrossing partitions of corresponding type by rank. Similar interpretations for theh-vector of the positive part of (Φ) are provided.The proof utilizes the appearance of the complex (Φ) in the context of the lattice L in recent work of two of the authors, as well as an explicit shelling of (Φ).
UR - http://www.scopus.com/inward/record.url?scp=33746871505&partnerID=8YFLogxK
U2 - 10.1155/IMRN/2006/69705
DO - 10.1155/IMRN/2006/69705
M3 - Article
SN - 1073-7928
VL - 2006
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
M1 - 69705
ER -