Some (Hopf) algebraic properties of circulant matrices

Details Some (Hopf) algebraic properties of circulant matrices Some (Hopf) algebraic properties of circulant matrices

2011-10-07

arxiv.org/abs/1110.1546v1

Mathematics

Rings and Algebras

12 pages

Scientific paper

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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