Cluster-tilted algebras of Dynkin type E6

The image below shows the standard forms of the 6 derived equivalence classes of cluster-tilted algebras of Dynkin type E6 along with their associated polynomials.

Each class is represented by one quiver; it is the quiver of a cluster-tilted algebra within that class satisfying certain minimality conditions. Arrows which are displayed without orientation can be oriented arbitrarily.

Click on a quiver to see the complete list of cluster-tilted algebras in the corresponding derived equivalence class.

E6 standard forms Derived class 1 Derived class 2 Derived class 6 Derived class 4 Derived class 5 Derived class 3