Janine Bastian
Published 2009-01-12, updated 2012-02-14Version 5
We give an explicit description of the mutation classes of quivers of type \tilde{A}_n. Furthermore, we provide a complete classification of cluster tilted algebras of type \tilde{A}_n up to derived equivalence. We show that the bounded derived category of such an algebra depends on four combinatorial parameters of the corresponding quiver.
Comments: 24 pages. v2: Correction of Definition 3.4. References added. Minor changes. v3: Revision of Definition 3.4 and Definition 3.9 (now 3.8). Proof of Lemma 3.7 (now 3.6) considerably simplified. Minor editorial changes. v4: Some examples omitted. Some proofs shortened. Minor editorial changes. v5: Final version. Minor editorial changes. arXiv admin note: text overlap with arXiv:math/0607348 by other authors
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