Some (Hopf) algebraic properties of circulant matrices

• Date: 2018
• Main Authors: Albuquerque, Helena, Panaite, Florin
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Hopf algebras; (generalized) circulant matrices; Brandt algebras; 15B05; 16W30
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/688
• Journal Title: Algebra and Discrete Mathematics

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 circula...