Representation theory of hereditary artin algebras of finite representation type
Abstract
Abstract Let be a hereditary artin algebra of finite representation type. We first determine all hammocks in the Auslander–Reiten quiver of , the category of finitely generated left ‐modules. This enables us to obtain an effective method to construct by simply viewing the ext‐quiver of . As easy applications, we compute the numbers of nonisomorphic indecomposable objects in and the associated cluster category , as well as the nilpotency of the radical of each of , and .
Fields of Study & Subjects
Algebraic structures and combinatorial models
Homotopy and Cohomology in Algebraic Topology
Advanced Operator Algebra Research
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Volume
- 114
- Issue
- 1
- Publication date
- 1 July 2026
- Language
- EN