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arXiv · 0801.3103

Categorification of acyclic cluster algebras: an introduction

Bernhard Keller
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Abstract

This is a concise introduction to Fomin-Zelevinsky's cluster algebras and their links with the representation theory of quivers in the acyclic case. We review the definition of cluster algebras (geometric, without coefficients), construct the cluster category and present the bijection between cluster variables and rigid indecomposable objects of the cluster category.

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Bernhard Keller. 2010-10-09. Categorification of acyclic cluster algebras: an introduction. https://arxiv.org/abs/0801.3103

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