#### Vol. 5, No. 5, 2011

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

### Janine Bastian

Vol. 5 (2011), No. 5, 567–594
##### Abstract

We give an explicit description of the mutation classes of quivers of type ${Ã}_{n}$. Furthermore, we provide a complete classification of cluster tilted algebras of type ${Ã}_{n}$ up to derived equivalence. We show that the bounded derived category of such an algebra depends on four combinatorial parameters of the corresponding quiver.

##### Keywords
cluster tilted algebra, quiver mutation, derived equivalence
##### Mathematical Subject Classification 2000
Primary: 16G20
Secondary: 18E35, 18E30