arXiv Analytics

Sign in

arXiv:math/0205152 [math.RT]AbstractReferencesReviewsResources

Generalized associahedra via quiver representations

Robert Marsh, Markus Reineke, Andrei Zelevinsky

Published 2002-05-14, updated 2003-02-08Version 2

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.

Comments: Very minor changes; one reference added; final version, to appear in Trans. Amer. Math. Soc
Categories: math.RT, math.AG
Related articles: Most relevant | Search more
arXiv:math/0604054 [math.RT] (Published 2006-04-04, updated 2006-05-11)
Laurent expansions in cluster algebras via quiver representations
arXiv:1811.12935 [math.RT] (Published 2018-11-30)
Quiver representations in abelian categories
arXiv:math/0608288 [math.RT] (Published 2006-08-11, updated 2007-08-31)
The Combinatorics of Quiver Representations