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Algebra and Discrete Mathematics, 2019, Volume 27, Issue 1, Pages 75–84 (Mi adm694)  

This article is cited in 1 scientific paper (total in 1 paper)

RESEARCH ARTICLE

Classification of homogeneous Fourier matrices

Gurmail Singh

Department of Mathematics and Statistics, University of Regina, Regina, Saskatchewan, Canada, S4S 0A2
Full-text PDF (336 kB) Citations (1)
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Abstract: 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, Fourier matrices, fusion rings, $C$-algebras.
Received: 14.04.2017
Revised: 19.02.2018
Document Type: Article
MSC: Primary 05E30; Secondary 05E99, 81R05
Language: English
Citation: Gurmail Singh, “Classification of homogeneous Fourier matrices”, Algebra Discrete Math., 27:1 (2019), 75–84
Citation in format AMSBIB
\Bibitem{Sin19}
\by Gurmail~Singh
\paper Classification of homogeneous Fourier matrices
\jour Algebra Discrete Math.
\yr 2019
\vol 27
\issue 1
\pages 75--84
\mathnet{http://mi.mathnet.ru/adm694}
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  • https://www.mathnet.ru/eng/adm/v27/i1/p75
  • This publication is cited in the following 1 articles:
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