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arXiv · 1306.5933

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

Kristin Krogh Arnesen·Yvonne Grimeland
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Abstract

We classify the Auslander-Reiten components of the bounded derived category of \Lambda, where {\Lambda} is a cluster-tilted of type \~A. 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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Kristin Krogh Arnesen, Yvonne Grimeland. 2013-06-25. The Auslander-Reiten components of the bounded derived category for a cluster-tilted algebra of type \~A. https://arxiv.org/abs/1306.5933

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