The Nakayama automorphism of a self-injective preprojective algebra
Representation Theory
2020-01-01 v2 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1906.11817,
title = {The Nakayama automorphism of a self-injective preprojective algebra},
author = {Joseph Grant},
journal= {arXiv preprint arXiv:1906.11817},
year = {2020}
}
Comments
18 pages; v2 contains a detailed worked example