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The Nakayama automorphism of a self-injective preprojective algebra

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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.

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Original languageEnglish
Pages (from-to)137-152
Number of pages16
JournalBulletin of the London Mathematical Society
Volume25
Issue number1
Early online date19 Dec 2019
DOIs
Publication statusPublished - Feb 2020
Peer-reviewedYes

Keywords

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  • 16D50, 16E60 (primary), 16G10, 16G70 (secondary), REPRESENTATION-FINITE ALGEBRAS

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ID: 169209403

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