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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| Date: | 2012 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2012
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/152161 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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. |
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