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Baur, K. orcid.org/0000-0002-7665-476X, Çanakçı, İ, Jacobsen, K.M. et al. (2 more authors) (2023) Infinite friezes and triangulations of annuli. Journal of Algebra and Its Applications. ISSN 0219-4988
Abstract
It is known that any infinite periodic frieze comes from a triangulation of an annulus by Theorem 4.6 of [K. Baur, M. J. Parsons and M. Tschabold, Infinite friezes, European J. Combin.54 (2016) 220–237]. In this paper, we show that each infinite periodic frieze determines a triangulation of an annulus in essentially a unique way. Since each triangulation of an annulus determines a pair of friezes, we study such pairs and show how they determine each other. We study associated module categories and determine the growth coefficient of the pair of friezes in terms of modules as well as their quiddity sequences.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This item is protected by copyright. This is an author produced version of an article published in Journal of Algebra and Its Applications. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Conway-Coxeter friezes; frieze patterns; infinite friezes; triangulation; annulus; cluster categories; growth coefficients |
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: | 19 Apr 2024 08:42 |
Last Modified: | 27 Jun 2024 00:13 |
Status: | Published online |
Publisher: | World Scientific |
Identification Number: | 10.1142/s0219498824502074 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:211616 |
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Infinite friezes and triangulations of annuli. (deposited 08 May 2024 08:08)
- Infinite friezes and triangulations of annuli. (deposited 19 Apr 2024 08:42) [Currently Displayed]