Classification of homogeneous Fourier matrices

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 s...

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Published in:Algebra and Discrete Mathematics
Date:2019
Main Author: Singh, G.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2019
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/188424
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Classification of homogeneous Fourier matrices / G. Singh // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 75–84. — Бібліогр.: 7 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Singh, G.
author_facet Singh, G.
citation_txt Classification of homogeneous Fourier matrices / G. Singh // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 75–84. — Бібліогр.: 7 назв. — англ.
collection DSpace DC
container_title Algebra and Discrete Mathematics
description 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.
first_indexed 2025-11-25T20:37:34Z
format Article
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id nasplib_isofts_kiev_ua-123456789-188424
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1726-3255
language English
last_indexed 2025-11-25T20:37:34Z
publishDate 2019
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Singh, G.
2023-02-28T19:14:51Z
2023-02-28T19:14:51Z
2019
Classification of homogeneous Fourier matrices / G. Singh // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 75–84. — Бібліогр.: 7 назв. — англ.
1726-3255
2010 MSC: Primary 05E30; Secondary 05E99, 81R05.
https://nasplib.isofts.kiev.ua/handle/123456789/188424
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.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
Classification of homogeneous Fourier matrices
Article
published earlier
spellingShingle Classification of homogeneous Fourier matrices
Singh, G.
title Classification of homogeneous Fourier matrices
title_full Classification of homogeneous Fourier matrices
title_fullStr Classification of homogeneous Fourier matrices
title_full_unstemmed Classification of homogeneous Fourier matrices
title_short Classification of homogeneous Fourier matrices
title_sort classification of homogeneous fourier matrices
url https://nasplib.isofts.kiev.ua/handle/123456789/188424
work_keys_str_mv AT singhg classificationofhomogeneousfouriermatrices