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

2013/06/25 by Kristin Krogh Arnesen, Arnesen, Kristin Krogh, Yvonne Grimeland +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1306.5933

openalex publication_date 2013/06/25 · openalex created_date 2017/01/26 · openalex updated_date 2026/07/28

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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