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Abstract: In this article we prove explicit formulae for the number of non-isomorphiccluster-tilted algebras of type \tilde{A} n in the derived equivalence classes.In particular, we obtain the number of elements in the mutation classes ofquivers of type \tilde{A} n. As a by-product, this provides an alternativeproof for the number of quivers of Dynkin type D n which was first determinedby Buan and Torkildsen.



Autor: Janine Bastian, Thomas Prellberg, Martin Rubey, Christian Stump

Fuente: https://arxiv.org/







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