Haden, Jordan (2024) 3-Preprojective algebras of type D. Algebras and Representation Theory, 27. 2295–2320. 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 |
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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) |
UEA Research Groups: | Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR) |
Related URLs: | |
Depositing User: | LivePure Connector |
Date Deposited: | 18 Nov 2024 15:30 |
Last Modified: | 20 Feb 2025 09:30 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/97709 |
DOI: | 10.1007/s10468-024-10297-3 |
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