Classification of homogeneous Fourier matrices

• Date: 2019
• Main Author: Singh, Gurmail
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2019
• Subjects: modular data; Fourier matrices; fusion rings; \(C\)-algebras; 05E30; 05E99; 81R05
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/446
• Journal Title: Algebra and Discrete Mathematics

Modular data are commonly studied in mathematics and physics. A modular datum defines a finite-dimensional representation of the modular group \(SL_2(\mathbb{Z})\). In this paper, we show that there is a one-to-one correspondence between  Fourier matrices associated to modular data and self-dual \(C...