Mutation classes of \tilde{A}_n-quivers and derived equivalence classification of cluster tilted algebras of type \tilde{A}_n

Details Mutation classes of \tilde{A}_n-quivers and derived equivalence classification of cluster tilted algebras of type \tilde{A}_n Mutation classes of \tilde{A}_n-quivers and derived equivalence classification of cluster tilted algebras of type \tilde{A}_n

2009-01-12

arxiv.org/abs/0901.1515v5

Mathematics

Representation Theory

24 pages. v2: Correction of Definition 3.4. References added. Minor changes. v3: Revision of Definition 3.4 and Definition 3.9

Scientific paper

10.2140/ant.2011.5.567

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.

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