Cluster Mutation via Quiver Representations

نویسندگان

  • ASLAK BAKKE BUAN
  • ROBERT J. MARSH
  • IDUN REITEN
چکیده

Matrix mutation appears in the definition of cluster algebras of Fomin and Zelevinsky. We give a representation theoretic interpretation of matrix mutation, using tilting theory in cluster categories of hereditary algebras. Using this, we obtain a representation theoretic interpretation of cluster mutation in case of acyclic cluster algebras.

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تاریخ انتشار 2008