Classification of homogeneous Fourier matrices
Abstract
Modular data are commonly studied in mathematics and physics. A modular datum defines a finite-dimensional representation of the modular group SL2(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, Fourier matrices, fusion rings, C -algebras
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