Auslander–Reiten theory revisited

  • Osamu Iyama

    Nagoya University, Japan
Auslander–Reiten theory revisited cover
Download Chapter PDF

A subscription is required to access this book chapter.

Abstract

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.