Dergiler / Journal of Algebra Combinatorics Discrete Structures and Applications / 2018 / Cilt: 5 - Sayı: 2

Fourier matrices of small rank

Fourier matrices of small rank

Gurmail Singh

Sayfa
51–63
DOI
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Abstract

Modular data is an important topic of study in rational conformal field theory. Cuntz, using a computer, classified the Fourier matrices associated to modular data with rational entries up to rank $12$, see [3]. Here we use the properties of $C$-algebras arising from Fourier matrices to classify complex Fourier matrices under certain conditions up to rank $5$. Also, we establish some results that are helpful in recognizing $C$-algebras that not arising from Fourier matrices by just looking at the first row of their character tables.