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 (12)

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• New Graphs of Finite Mutation Type
• On the combinatorics of rigid objects in 2-Calabi-Yau categories
• On the properties of the exchange graph of a cluster algebra
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Cited by in corpus (5)

• Homological S-Duality in 4d N=2 QFTs
• Companion bases for cluster-tilted algebras
• Compactifying Exchange Graphs I: Annuli and Tubes
• Tilting mutation for $m$-replicated algebras
• Rooted Clusters for Graph LP Algebras