22 citations · 22 across the 1 of their papers we have counts for
4 papers
Towards derived equivalence classification of the cluster-tilted algebras of Dynkin type D
Janine Bastian, Thorsten Holm, Sefi Ladkani
We provide a far reaching derived equivalence classification of the cluster-tilted algebras of Dynkin type D and suggest standard forms for the derived equivalence classes. We beli…
Derived equivalence classification of the cluster-tilted algebras of Dynkin type E
Janine Bastian, Thorsten Holm, Sefi Ladkani
We obtain a complete derived equivalence classification of the cluster-tilted algebras of Dynkin type E. There are 67, 416, 1574 algebras in types E6, E7 and E8 which turn out to f…
Counting the number of elements in the mutation classes of \tilde{A}_n-quivers
Janine Bastian, Thomas Prellberg, Martin Rubey +1
In this article we prove explicit formulae for the number of non-isomorphic cluster-tilted algebras of type \tilde{A}_n in the derived equivalence classes. In particular, we obtain…
Mutation classes of \tilde{A}_n-quivers and derived equivalence classification of cluster tilted algebras of type \tilde{A}_n
Janine Bastian
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{…