The Nakayama automorphism of a self-injective preprojective algebra

Tools

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

Preview

PDF (Accepted_Manuscript) - Accepted Version
Download (206kB) | Preview

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)
Related URLs:	https://arxiv.org/abs/1906.11817 http://www.scopus.com/inward/record.url?...
Depositing User:	LivePure Connector
Date Deposited:	05 Nov 2019 12:10
Last Modified:	09 Apr 2025 00:51
URI:	https://ueaeprints.uea.ac.uk/id/eprint/72872
DOI:	10.1112/blms.12313

Downloads

Downloads per month over past year

Actions (login required)

View Item