3-Preprojective algebras of type D

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Haden, Jordan (2024) 3-Preprojective algebras of type D. Algebras and Representation Theory. ISSN 1386-923X

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Abstract

We present a family of selfinjective algebras of type D, which arise from the 3-preprojective algebras of type A by taking a ℤ3-quotient. We show that a subset of these are themselves 3-preprojective algebras, and that the associated 2-representation-finite algebras are fractional Calabi-Yau. In addition, we show our work is connected to modular invariants for SU(3).

Item Type:	Article
Additional Information:	Data Availability Statement: No datasets were generated or analysed during the current study. Funding information: This paper was written while the author was in reciept of a PhD studentship from the University of East Anglia.
Uncontrolled Keywords:	16d50,16e35,16s35,2-representation-finite,3-preprojective,fractional calabi-yau,jacobian algebras,su(3) modular invariants,mathematics(all) ,/dk/atira/pure/subjectarea/asjc/2600
Faculty \ School:	Faculty of Science > School of Engineering, Mathematics and Physics Faculty of Science > School of Mathematics (former - to 2024)
Related URLs:	http://www.scopus.com/inward/record.url?... https://arxiv.org/abs/2403.14285 https://doi.org/10.1007/s10468-024-10297...
Depositing User:	LivePure Connector
Date Deposited:	18 Nov 2024 15:30
Last Modified:	27 Nov 2024 10:45
URI:	https://ueaeprints.uea.ac.uk/id/eprint/97709
DOI:	10.1007/s10468-024-10297-3

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