Invariant and polynomial identities for higher rank matrices

Details Invariant and polynomial identities for higher rank matrices Invariant and polynomial identities for higher rank matrices

2007-01-31

arxiv.org/abs/math-ph/0702001v1

J. Phys. A: Math. Theor. 40, 5525 (2007)

Physics

Mathematical Physics

Scientific paper

10.1088/1751-8113/40/21/005

We exhibit explicit expressions, in terms of components, of discriminants, determinants, characteristic polynomials and polynomial identities for matrices of higher rank. We define permutation tensors and in term of them we construct discriminants and the determinant as the discriminant of order $d$, where $d$ is the dimension of the matrix. The characteristic polynomials and the Cayley--Hamilton theorem for higher rank matrices are obtained there from.

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