Geodesic
Classification of homogeneous Fourier matrices
Algebra and discrete mathematics, Tome 27 (2019) no. 1, pp. 75-84.

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Modular data are commonly studied in mathematics and physics. A modular datum defines a finite-dimensional representation of the modular group $\mathrm{SL}_2(\mathbb{Z})$. In this paper, we show that there is a one-to-one correspondence between Fourier matrices associated to modular data and self-dual $C$-algebras that satisfy a certain condition. We prove that a homogenous $C$-algebra arising from a Fourier matrix has all the degrees equal to $1$.
Keywords: modular data, fusion rings, $C$-algebras.
Mots-clés : Fourier matrices 
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     author = {Gurmail Singh},
     title = {Classification of homogeneous {Fourier} matrices},
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     url = {http://geodesic.mathdoc.fr/item/ADM_2019_27_1_a8/}
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Gurmail Singh. Classification of homogeneous Fourier matrices. Algebra and discrete mathematics, Tome 27 (2019) no. 1, pp. 75-84. http://geodesic.mathdoc.fr/item/ADM_2019_27_1_a8/

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