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    • Cluster algebras and Markoff numbers

      Peng, Xue Yuan; Zhang, Jie (Université de Sherbrooke. Département de mathématiques, 2012)
      Abstract: We introduce Markoff numbers and reveal their connection to the cluster algebra associated to the once-punctured torus.
    • Sur la catégorie amassée d'une surface marquée

      Zhang, Jie (Université de Sherbrooke, 2011)
      We study in this thesis the cluster category C[subscript S,M] and cluster algebra A[Subscript S,M] of a marked surface (S, M) without punctures. We give a geometric characterization of the indecomposable objects in C[subscript ...