Generalized associahedra via quiver representations

Marsh, Bethany; Reineke, Markus; Zelevinsky, Andrei

doi:10.1090/S0002-9947-03-03320-8

Generalized associahedra via quiver representations
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by Bethany Marsh, Markus Reineke and Andrei Zelevinsky PDF

Trans. Amer. Math. Soc. 355 (2003), 4171-4186

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.

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