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Pré-Publication, Document De Travail Année : 2012

Modules over cluster-tilted algebras determined by their dimension vectors

Résumé

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.

Dates et versions

hal-00674738 , version 1 (28-02-2012)

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Ibrahim Assem, Grégoire Dupont. Modules over cluster-tilted algebras determined by their dimension vectors. 2012. ⟨hal-00674738⟩

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