The skew-circulant matrix has been used in solving ordinary differential equations. We prove that the set of skew-circulants with complex entries has an idempotent basis. On that basis, a skew-cyclic group of automorphisms and functional equations on the skew-circulant algebra is introduced. And different operators on linear vector space that are isomorphic to the algebra of complex skew-circulant matrices are displayed in this paper.
Zhaolin Jiang. Tingting Xu. Fuliang Lu. "Isomorphic Operators and Functional Equations for the Skew-Circulant Algebra." Abstr. Appl. Anal. 2014 (SI53) 1 - 8, 2014. https://doi.org/10.1155/2014/418194