Frieze matrices and friezes with coefficients
Frieze patterns are combinatorial objects that are deeply related to cluster theory. Determinants of frieze patterns arise from triangular regions of the frieze, and they have been considered in previous works by Broline-Crowe-Isaacs, and by Baur-Marsh. In this article, we introduce a new type of ma...
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| Видавець: | Lugansk National Taras Shevchenko University |
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| Дата: | 2024 |
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| Формат: | Стаття |
| Мова: | English |
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Lugansk National Taras Shevchenko University
2024
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Algebra and Discrete Mathematics| id |
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oai:ojs.admjournal.luguniv.edu.ua:article-21842024-02-14T18:40:04Z Frieze matrices and friezes with coefficients Maldonado, J. P. frieze pattern, cluster algebra, determinant 05B20; 13F60 Frieze patterns are combinatorial objects that are deeply related to cluster theory. Determinants of frieze patterns arise from triangular regions of the frieze, and they have been considered in previous works by Broline-Crowe-Isaacs, and by Baur-Marsh. In this article, we introduce a new type of matrix for any infinite frieze pattern. This approach allows us to give a new proof of the frieze determinant result given by Baur-Marsh. Lugansk National Taras Shevchenko University Karin Baur, Ana García Elsener, Leeds University, CONICET. 2024-02-14 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2184 10.12958/adm2184 Algebra and Discrete Mathematics; Vol 36, No 2 (2023) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2184/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2184/1135 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2184/1136 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/2184/1137 Copyright (c) 2024 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
frieze pattern cluster algebra determinant 05B20 13F60 |
| spellingShingle |
frieze pattern cluster algebra determinant 05B20 13F60 Maldonado, J. P. Frieze matrices and friezes with coefficients |
| topic_facet |
frieze pattern cluster algebra determinant 05B20 13F60 |
| format |
Article |
| author |
Maldonado, J. P. |
| author_facet |
Maldonado, J. P. |
| author_sort |
Maldonado, J. P. |
| title |
Frieze matrices and friezes with coefficients |
| title_short |
Frieze matrices and friezes with coefficients |
| title_full |
Frieze matrices and friezes with coefficients |
| title_fullStr |
Frieze matrices and friezes with coefficients |
| title_full_unstemmed |
Frieze matrices and friezes with coefficients |
| title_sort |
frieze matrices and friezes with coefficients |
| description |
Frieze patterns are combinatorial objects that are deeply related to cluster theory. Determinants of frieze patterns arise from triangular regions of the frieze, and they have been considered in previous works by Broline-Crowe-Isaacs, and by Baur-Marsh. In this article, we introduce a new type of matrix for any infinite frieze pattern. This approach allows us to give a new proof of the frieze determinant result given by Baur-Marsh. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2024 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2184 |
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AT maldonadojp friezematricesandfriezeswithcoefficients |
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2024-04-12T06:13:58Z |
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2024-04-12T06:13:58Z |
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