Baur, K orcid.org/0000-0002-7665-476X, Pasquali, A and Velasco, D (2023) Orbifold diagrams. Journal of Algebra, 619. pp. 383-418. ISSN 0021-8693
Abstract
We study alternating strand diagrams on the disk with an orbifold point. These are quotients by rotation of Postnikov diagrams on the disk, and we call them orbifold diagrams. We associate a quiver with potential to each orbifold diagram, in such a way that its Jacobian algebra and the one associated to the covering Postnikov diagram are related by a skew-group algebra construction. We moreover realise this Jacobian algebra as the endomorphism algebra of a certain explicit cluster-tilting object. This is similar to (and relies on) a result by Baur-King-Marsh for Postnikov diagrams on the disk.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2022 Elsevier Inc. This is an author produced version of an article published in Journal of Algebra. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Postnikov diagrams; Orbifold points; Quivers with potentials; Dimer algebra |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 05 May 2023 10:06 |
Last Modified: | 15 Dec 2023 01:13 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.jalgebra.2022.10.039 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:198923 |