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 |
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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 |
Related URLs: | |
Depositing User: | LivePure Connector |
Date Deposited: | 05 Nov 2019 12:10 |
Last Modified: | 25 Sep 2024 14:20 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/72872 |
DOI: | 10.1112/blms.12313 |
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