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 SL₂(Z). Cuntz (2007) defined isomorphic integral modular data. Here we discuss isomorphic integral and non-integral modular data as well as non-isomorphic bu...

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Veröffentlicht in:Algebra and Discrete Mathematics
Datum:2021
1. Verfasser: Singh, G.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2021
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/188721
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Diagonal torsion matrices associated with modular data / G. Singh // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 1. — С. 127–137. — Бібліогр.: 7 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Singh, G.
author_facet Singh, G.
citation_txt Diagonal torsion matrices associated with modular data / G. Singh // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 1. — С. 127–137. — Бібліогр.: 7 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
description Modular data are commonly studied in mathematics and physics. A modular datum defines a finite-dimensional representation of the modular group SL₂(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 2025-11-25T20:32:30Z
format Article
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id nasplib_isofts_kiev_ua-123456789-188721
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-11-25T20:32:30Z
publishDate 2021
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Singh, G.
2023-03-12T18:30:58Z
2023-03-12T18:30:58Z
2021
Diagonal torsion matrices associated with modular data / G. Singh // Algebra and Discrete Mathematics. — 2021. — Vol. 32, № 1. — С. 127–137. — Бібліогр.: 7 назв. — англ.
1726-3255
DOI:10.12958/adm1368
2020 MSC: Primary 05E40; Secondary 05E99, 81R05.
https://nasplib.isofts.kiev.ua/handle/123456789/188721
Modular data are commonly studied in mathematics and physics. A modular datum defines a finite-dimensional representation of the modular group SL₂(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.
The author would like to thank Professor Allen Herman whose valuable suggestions helped him to improve this paper.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
Diagonal torsion matrices associated with modular data
Article
published earlier
spellingShingle Diagonal torsion matrices associated with modular data
Singh, G.
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
url https://nasplib.isofts.kiev.ua/handle/123456789/188721
work_keys_str_mv AT singhg diagonaltorsionmatricesassociatedwithmodulardata