The Nakayama automorphism of a self-injective preprojective algebra

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Grant, Joseph (2020) The Nakayama automorphism of a self-injective preprojective algebra. Bulletin of the London Mathematical Society, 25 (1). pp. 137-152. ISSN 0024-6093

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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.

Item Type: Article
Uncontrolled Keywords: 16d50,16e60 (primary),16g10,16g70 (secondary),representation-finite algebras,mathematics(all) ,/dk/atira/pure/subjectarea/asjc/2600
Faculty \ School: Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups: Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024)
Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
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Depositing User: LivePure Connector
Date Deposited: 05 Nov 2019 12:10
Last Modified: 19 Oct 2025 23:56
URI: https://ueaeprints.uea.ac.uk/id/eprint/72872
DOI: 10.1112/blms.12313

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