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...
Gespeichert in:
| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2012 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2012
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152161 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-152161 |
|---|---|
| record_format |
dspace |
| spelling |
Albuquerque, H. Panaite, F. 2019-06-08T07:27:01Z 2019-06-08T07:27:01Z 2012 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. https://nasplib.isofts.kiev.ua/handle/123456789/152161 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. The first author was partially supported by the Centre for Mathematics of the University of Coimbra (CMUC). The second author was partially supported by the CNCSIS project “Hopf algebras, cyclic homology and monoidal categories”, contract nr. 560/2009, CNCSIS code ID−69. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Some (Hopf) algebraic properties of circulant matrices Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Some (Hopf) algebraic properties of circulant matrices |
| spellingShingle |
Some (Hopf) algebraic properties of circulant matrices Albuquerque, H. Panaite, F. |
| 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 |
| author |
Albuquerque, H. Panaite, F. |
| author_facet |
Albuquerque, H. Panaite, F. |
| publishDate |
2012 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT albuquerqueh somehopfalgebraicpropertiesofcirculantmatrices AT panaitef somehopfalgebraicpropertiesofcirculantmatrices |
| first_indexed |
2025-11-30T17:03:52Z |
| last_indexed |
2025-11-30T17:03:52Z |
| _version_ |
1850858208302727168 |