Some (Hopf) algebraic properties of circulant matrices
We study some (Hopf) algebraic properties of circulant matrices, inspired by the fact that the algebra of circulant n × n matrices is isomorphic to the group algebra of the cyclic group with n elements. We introduce also a class of matrices that generalize both circulant and skew circulant matri...
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| Видавець: | Інститут прикладної математики і механіки НАН України |
|---|---|
| Дата: | 2012 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2012
|
| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/152161 |
| Теги: |
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| Цитувати: | Some (Hopf) algebraic properties of circulant matrices / H. Albuquerque, F. Panaite // Algebra and Discrete Mathematics. — 2012. — Vol. 13, № 1. — С. 1–17. — Бібліогр.: 5 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-152161 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1521612019-06-09T01:24:49Z Some (Hopf) algebraic properties of circulant matrices Albuquerque, H. Panaite, F. We study some (Hopf) algebraic properties of circulant matrices, inspired by the fact that the algebra of circulant n × n matrices is isomorphic to the group algebra of the cyclic group with n elements. We introduce also a class of matrices that generalize both circulant and skew circulant matrices, and for which the eigenvalues and eigenvectors can be read directly from their entries. 2012 Article Some (Hopf) algebraic properties of circulant matrices / H. Albuquerque, F. Panaite // Algebra and Discrete Mathematics. — 2012. — Vol. 13, № 1. — С. 1–17. — Бібліогр.: 5 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 15B05; 16W30. http://dspace.nbuv.gov.ua/handle/123456789/152161 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We study some (Hopf) algebraic properties of
circulant matrices, inspired by the fact that the algebra of circulant
n × n matrices is isomorphic to the group algebra of the cyclic
group with n elements. We introduce also a class of matrices that
generalize both circulant and skew circulant matrices, and for which
the eigenvalues and eigenvectors can be read directly from their
entries. |
| format |
Article |
| author |
Albuquerque, H. Panaite, F. |
| spellingShingle |
Albuquerque, H. Panaite, F. Some (Hopf) algebraic properties of circulant matrices Algebra and Discrete Mathematics |
| author_facet |
Albuquerque, H. Panaite, F. |
| author_sort |
Albuquerque, H. |
| title |
Some (Hopf) algebraic properties of circulant matrices |
| title_short |
Some (Hopf) algebraic properties of circulant matrices |
| title_full |
Some (Hopf) algebraic properties of circulant matrices |
| title_fullStr |
Some (Hopf) algebraic properties of circulant matrices |
| title_full_unstemmed |
Some (Hopf) algebraic properties of circulant matrices |
| title_sort |
some (hopf) algebraic properties of circulant matrices |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/152161 |
| citation_txt |
Some (Hopf) algebraic properties of circulant matrices / H. Albuquerque, F. Panaite // Algebra and Discrete Mathematics. — 2012. — Vol. 13, № 1. — С. 1–17. — Бібліогр.: 5 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT albuquerqueh somehopfalgebraicpropertiesofcirculantmatrices AT panaitef somehopfalgebraicpropertiesofcirculantmatrices |
| first_indexed |
2023-05-20T17:37:36Z |
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2023-05-20T17:37:36Z |
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1796153721310150656 |