h-Vectors of generalized associahedra and noncrossing partitions

Christos A. Athanasiadis, Thomas Brady, Jon McCammond, Colum Watt

    Research output: Contribution to journalArticlepeer-review

    Abstract

    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).

    Original languageEnglish
    Article number69705
    JournalInternational Mathematics Research Notices
    Volume2006
    DOIs
    Publication statusPublished - 2006

    Fingerprint

    Dive into the research topics of 'h-Vectors of generalized associahedra and noncrossing partitions'. Together they form a unique fingerprint.

    Cite this