Tilting theory and cluster algebras

Abstract

We give an introduction to the theory of cluster categories and cluster tilted algebras. We include some background on the theory of cluster algebras, and discuss the interplay with cluster categories and cluster tilted algebras.

32 pages. To appear in Trieste Proceedings of Workshop January 2006, this version from May 2008

References in corpus (7)

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• Counting cluster-tilted algebras of type $A_n$
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• New Graphs of Finite Mutation Type
• On the combinatorics of rigid objects in 2-Calabi-Yau categories
• Stable Calabi-Yau dimension for finite type selfinjective algebras