Skew-symmetric matrices related to the vector cross product in C^7

Beites, Patrícia Damas; Nicolás, Alejandro; Vitoria, Jose

http://hdl.handle.net/10400.6/19687

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Autores

Beites, Patrícia Damas

Nicolás, Alejandro

Vitoria, Jose

Resumo(s)

Skew-symmetric matrices of order 7 defined through the 2-fold vector cross product in C7 , and other related matrices, are presented. More concretely, matrix properties, namely invertibility, nullspace, powers and index, are studied. As a consequence, results on vector cross product equations, vector cross product differential equations and vector cross product difference equations in C7 are established.