Generalized associahedra via quiver representations

Details Generalized associahedra via quiver representations Generalized associahedra via quiver representations

2002-05-14

arxiv.org/abs/math/0205152v2

Mathematics

Representation Theory

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

Scientific paper

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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