Tilting theory and cluster algebras
Idun Reiten
TL;DR
This paper introduces the theory of cluster categories and cluster tilted algebras, exploring their relationship with cluster algebras and providing foundational background for further research.
Contribution
It offers an accessible introduction to cluster categories and tilted algebras, highlighting their connections with cluster algebras and serving as a foundational resource.
Findings
Explains the basics of cluster categories and tilted algebras.
Discusses the interplay between cluster algebras and cluster categories.
Provides background and context for further study in the field.
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons