{ "id": "math/0205152", "version": "v2", "published": "2002-05-14T13:25:26.000Z", "updated": "2003-02-08T10:33:29.000Z", "title": "Generalized associahedra via quiver representations", "authors": [ "Robert Marsh", "Markus Reineke", "Andrei Zelevinsky" ], "comment": "Very minor changes; one reference added; final version, to appear in Trans. Amer. Math. Soc", "categories": [ "math.RT", "math.AG" ], "abstract": "We provide a quiver-theoretic interpretation of certain smooth complete simplicial fans associated to arbitrary finite root systems in recent work of S. Fomin and A. Zelevinsky. The main properties of these fans then become easy consequences of the known facts about tilting modules due to K. Bongartz, D. Happel and C. M. Ringel.", "revisions": [ { "version": "v2", "updated": "2003-02-08T10:33:29.000Z" } ], "analyses": { "keywords": [ "quiver representations", "generalized associahedra", "arbitrary finite root systems", "smooth complete simplicial fans", "quiver-theoretic interpretation" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math......5152M" } } }