Diagonal torsion matrices associated with modular data
Modular data are commonly studied in mathematics and physics. A modular datum defines a finite-dimensional representation of the modular group \(SL_2(\mathbb{Z})\). Cuntz (2007) defined isomorphic integral modular data. Here we discuss isomorphic integral and non-integral modular data as well as non...
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| Date: | 2021 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2021
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1368 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543027852476416 |
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| author | Singh, G. |
| author_facet | Singh, G. |
| author_sort | Singh, G. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2021-11-09T03:53:16Z |
| description | Modular data are commonly studied in mathematics and physics. A modular datum defines a finite-dimensional representation of the modular group \(SL_2(\mathbb{Z})\). Cuntz (2007) defined isomorphic integral modular data. Here we discuss isomorphic integral and non-integral modular data as well as non-isomorphic but closely related modular data. In this paper, we give some insights into diagonal torsion matrices associated to modular data. |
| first_indexed | 2025-12-02T15:38:46Z |
| format | Article |
| id | admjournalluguniveduua-article-1368 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:38:46Z |
| publishDate | 2021 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-13682021-11-09T03:53:16Z Diagonal torsion matrices associated with modular data Singh, G. Fourier matrices, diagonal torsion matrices, fusion rings, \(C\)-algebras Primary 05E40; Secondary 05E99, 81R05 Modular data are commonly studied in mathematics and physics. A modular datum defines a finite-dimensional representation of the modular group \(SL_2(\mathbb{Z})\). Cuntz (2007) defined isomorphic integral modular data. Here we discuss isomorphic integral and non-integral modular data as well as non-isomorphic but closely related modular data. In this paper, we give some insights into diagonal torsion matrices associated to modular data. Lugansk National Taras Shevchenko University 2021-11-09 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1368 10.12958/adm1368 Algebra and Discrete Mathematics; Vol 32, No 1 (2021) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1368/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1368/518 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1368/871 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1368/872 Copyright (c) 2021 Algebra and Discrete Mathematics |
| spellingShingle | Fourier matrices diagonal torsion matrices fusion rings \(C\)-algebras Primary 05E40; Secondary 05E99 81R05 Singh, G. Diagonal torsion matrices associated with modular data |
| title | Diagonal torsion matrices associated with modular data |
| title_full | Diagonal torsion matrices associated with modular data |
| title_fullStr | Diagonal torsion matrices associated with modular data |
| title_full_unstemmed | Diagonal torsion matrices associated with modular data |
| title_short | Diagonal torsion matrices associated with modular data |
| title_sort | diagonal torsion matrices associated with modular data |
| topic | Fourier matrices diagonal torsion matrices fusion rings \(C\)-algebras Primary 05E40; Secondary 05E99 81R05 |
| topic_facet | Fourier matrices diagonal torsion matrices fusion rings \(C\)-algebras Primary 05E40; Secondary 05E99 81R05 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1368 |
| work_keys_str_mv | AT singhg diagonaltorsionmatricesassociatedwithmodulardata |