Mathematics – Representation Theory
Scientific paper
2012-02-25
Mathematics
Representation Theory
9 pages
Scientific paper
We prove that indecomposable transjective modules over cluster-tilted algebras are uniquely determined by their dimension vectors. Similarly, we prove that for cluster-concealed algebras, rigid modules lifting to rigid objects in the corresponding cluster category are uniquely determined by their dimension vectors. Finally, we apply our results to a conjecture of Fomin and Zelevinsky on denominators of cluster variables.
Assem Ibrahim
Dupont Grégoire
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