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 |
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| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2019
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| 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| _version_ | 1862549247693422592 |
|---|---|
| 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.
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| first_indexed | 2025-11-25T20:37:34Z |
| format | Article |
| fulltext | |
| 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 |