An example

The algebras A and B = End(T)

The category mod B (with its subcategories Y', S, X)


The algebras A, B, and the corresponding cluster tilted algebra C(B):

Other tilted algebras B' with C(B') = C(B):

The universal covering of C(B), and the essential part B2:


We compare the categories mod A and mod C(B):

Here are two components of mod C(B) in detail: