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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Bibliographic Details
Date:2021
Main Author: Singh, G.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2021
Series:Algebra and Discrete Mathematics
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/188721
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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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Summary: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.