Abstract
We give a simple proof, using Auslander-Reiten theory, that the preprojective algebra of a basic hereditary algebra of finite representation type is Frobenius. We then describe its Nakayama automorphism, which is induced by the Nakayama functor on the module category of our hereditary algebra.
| Original language | English |
|---|---|
| Pages (from-to) | 137-152 |
| Number of pages | 16 |
| Journal | Bulletin of the London Mathematical Society |
| Volume | 25 |
| Issue number | 1 |
| Early online date | 19 Dec 2019 |
| DOIs | |
| Publication status | Published - Feb 2020 |
Keywords
- 16D50
- 16E60 (primary)
- 16G10
- 16G70 (secondary)
- REPRESENTATION-FINITE ALGEBRAS
Profiles
-
Joseph Grant
- School of Engineering, Mathematics and Physics - Lecturer in Pure Mathematics
- Algebra, Number Theory, Logic, and Representations (ANTLR) - Member
Person: Research Group Member, Academic, Teaching & Research