Diagonal torsion matrices associated with modular data

G. Singh


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.


Fourier matrices, diagonal torsion matrices, fusion rings, \(C\)-algebras

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DOI: http://dx.doi.org/10.12958/adm1368


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