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Fourier matrices of small rank

Gurmail Singh [1]

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.
Fourier matrices, Modular data, Fusion rings, C-algebras
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Subjects Engineering Articles Orcid: 0000-0002-0819-8221Author: Gurmail Singh Publication Date : May 29, 2018
 Bibtex @research article { jacodesmath369865, journal = {Journal of Algebra Combinatorics Discrete Structures and Applications}, issn = {}, eissn = {2148-838X}, address = {}, publisher = {Yildiz Technical University}, year = {2018}, volume = {5}, pages = {51 - 63}, doi = {10.13069/jacodesmath.369865}, title = {Fourier matrices of small rank}, key = {cite}, author = {Singh, Gurmail} } APA Singh, G . (2018). Fourier matrices of small rank . Journal of Algebra Combinatorics Discrete Structures and Applications , 5 (2) , 51-63 . DOI: 10.13069/jacodesmath.369865 MLA Singh, G . "Fourier matrices of small rank" . Journal of Algebra Combinatorics Discrete Structures and Applications 5 (2018 ): 51-63 Chicago Singh, G . "Fourier matrices of small rank". Journal of Algebra Combinatorics Discrete Structures and Applications 5 (2018 ): 51-63 RIS TY - JOUR T1 - Fourier matrices of small rank AU - Gurmail Singh Y1 - 2018 PY - 2018 N1 - doi: 10.13069/jacodesmath.369865 DO - 10.13069/jacodesmath.369865 T2 - Journal of Algebra Combinatorics Discrete Structures and Applications JF - Journal JO - JOR SP - 51 EP - 63 VL - 5 IS - 2 SN - -2148-838X M3 - doi: 10.13069/jacodesmath.369865 UR - https://doi.org/10.13069/jacodesmath.369865 Y2 - 2017 ER - EndNote %0 Journal of Algebra Combinatorics Discrete Structures and Applications Fourier matrices of small rank %A Gurmail Singh %T Fourier matrices of small rank %D 2018 %J Journal of Algebra Combinatorics Discrete Structures and Applications %P -2148-838X %V 5 %N 2 %R doi: 10.13069/jacodesmath.369865 %U 10.13069/jacodesmath.369865 ISNAD Singh, Gurmail . "Fourier matrices of small rank". Journal of Algebra Combinatorics Discrete Structures and Applications 5 / 2 (May 2018): 51-63 . https://doi.org/10.13069/jacodesmath.369865 AMA Singh G . Fourier matrices of small rank. Journal of Algebra Combinatorics Discrete Structures and Applications. 2018; 5(2): 51-63. Vancouver Singh G . Fourier matrices of small rank. Journal of Algebra Combinatorics Discrete Structures and Applications. 2018; 5(2): 51-63.

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