Auslander–Reiten theory revisited

  • Osamu Iyama

    Nagoya University, Japan
Auslander–Reiten theory revisited cover

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We recall several results in Auslander–Reiten theory for finite-dimensional algebras over fields and orders over complete local rings. Then we introduce n-cluster tilting subcategories and higher theory of almost split sequences and Auslander algebras. Several examples are explained.