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arXiv · 1110.1546

Some (Hopf) algebraic properties of circulant matrices

Helena Albuquerque·Florin Panaite
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Abstract

We study some (Hopf) algebraic properties of circulant matrices, inspired by the fact that the algebra of circulant $n\times n$ 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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Helena Albuquerque, Florin Panaite. 2011-10-07. Some (Hopf) algebraic properties of circulant matrices. https://arxiv.org/abs/1110.1546

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