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Some (Hopf) algebraic properties of circulant matrices

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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Bibliographic Details
Main Authors: Albuquerque, H., Panaite, F.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2012
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/152161
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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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