Trends in Representation Theory of Algebras and Related Topics
Full-Text PDF (361 KB) | Book articles | Book details
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.
Keywords: Auslander–Reiten theory, n-cluster tilting subcategory, n-Auslander algebra, n-almost split sequence