Generalized associahedra via quiver representations
Representation Theory
2020-12-21 v2 Algebraic Geometry
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.
Cite
@article{arxiv.math/0205152,
title = {Generalized associahedra via quiver representations},
author = {Bethany Marsh and Markus Reineke and Andrei Zelevinsky},
journal= {arXiv preprint arXiv:math/0205152},
year = {2020}
}
Comments
Very minor changes; one reference added; final version, to appear in Trans. Amer. Math. Soc