# Cluster-tilted algebras of Dynkin type E

This page contains supplementary material to the paper
*Derived equivalence
classification of cluster-tilted algebras of Dynkin type E*
by
Janine Bastian,
Thorsten Holm
and Sefi Ladkani.

The derived equivalence classes of the cluster-tilted algebras of Dynkin
type E are characterized by their so-called
**associated polynomials**.

In the tables below, click on a polynomial to see the list of
cluster-tilted algebras belonging to the corresponding class. For each
algebra we write its quiver, defining relations, Cartan matrix and the
complete list of good mutations.

## Type E_{6}

There are 67 cluster-tilted algebras of Dynkin type E_{6}
which fall into 6 derived equivalence classes.

## Type E_{7}

There are 416 cluster-tilted algebras of Dynkin type E_{7}
which fall into 14 derived equivalence classes.

## Type E_{8}

There are 1574 cluster-tilted algebras of Dynkin type E_{8}
which fall into 15 derived equivalence classes.