The Auslander-Reiten components of the bounded derived category for a cluster-tilted algebra of type Ã

preprint2015arXivOpen access

Abstract

We classify the Auslander-Reiten components of the bounded derived category of Λ, where Λ is a cluster-tilted of type Ã. The main tool is the combinatoric description of the indecomposable complexes in the bounded homotopy category via homotopy strings and homotopy bands.

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