Some (Hopf) algebraic properties of circulant matrices

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dc.contributor.authorAlbuquerque, H.
dc.contributor.authorPanaite, F.
dc.date.accessioned2019-06-08T07:27:01Z
dc.date.available2019-06-08T07:27:01Z
dc.date.issued2012
dc.description.abstractWe 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.uk_UA
dc.description.sponsorshipThe 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.uk_UA
dc.identifier.citationSome (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.uk_UA
dc.identifier.issn1726-3255
dc.identifier.other2000 Mathematics Subject Classification: 15B05; 16W30.
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/152161
dc.language.isoenuk_UA
dc.publisherІнститут прикладної математики і механіки НАН Україниuk_UA
dc.relation.ispartofAlgebra and Discrete Mathematics
dc.statuspublished earlieruk_UA
dc.titleSome (Hopf) algebraic properties of circulant matricesuk_UA
dc.typeArticleuk_UA

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Algebra and Discrete Mathematics, 2012, Vol. 13, № 1