The Nakayama automorphism of a self-injective preprojective algebra
arXiv:1906.11817 · doi:10.1112/blms.12313
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.
arXiv comment18 pages; v2 contains a detailed worked example
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