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.
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

Keywords

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

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