Generalized associahedra via quiver representations

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.

Very minor changes; one reference added; final version, to appear in Trans. Amer. Math. Soc