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Some (Hopf) algebraic properties of circulant matrices
Репозиторій DSpace/Manakin
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Some (Hopf) algebraic properties of circulant matrices
Інший ID:
2000 Mathematics Subject Classification: 15B05; 16W30.
Посилання:
Some (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.
Підтримка:
The 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.
Дата:
2012
Переглядів:
601
Завантажень:
149
Анотація:
We 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.
