Some (Hopf) algebraic properties of circulant matrices
Rings and Algebras
2011-10-10 v1
Abstract
We study some (Hopf) algebraic properties of circulant matrices, inspired by the fact that the algebra of circulant matrices is isomorphic to the group algebra of the cyclic group with 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.
Keywords
Cite
@article{arxiv.1110.1546,
title = {Some (Hopf) algebraic properties of circulant matrices},
author = {Helena Albuquerque and Florin Panaite},
journal= {arXiv preprint arXiv:1110.1546},
year = {2011}
}
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12 pages