Generalized associahedra via quiver representations

Preprint

8 February 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0205152

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.

Keywords

THEORETIC INTERPRETATION
GENERALIZED ASSOCIAHEDRA
QUIVER REPRESENTATIONS
COMPLETE SIMPLICIAL
QUIVER THEORETIC
SMOOTH COMPLETE
ROOT SYSTEMS
PROPERTIES

All Related Versions

Version 1, 2002-05-14, ArXiv
Version 2, 2003-02-08, ArXiv

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