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

Published 25 Jun 2013 in math.RT | (1306.5933v4)

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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