Invariants of tensors

（重定向自Tensor invariant）

In mathematics, in the fields of multilinear algebra and representation theory, invariants of tensors are coefficients of the characteristic polynomial of the tensor A:

where $\mathbf E$ is the identity tensor and $\lambda\in\mathbb C$ is the polynomial's indeterminate (it is important to bear in mind that a polynomial's indeterminate $\lambda$ may also be a non-scalar as long as power, scaling and adding make sense for it, e.g., $p(\mathbf A)$ is legitimate, and in fact, quite useful).

单词	Tensor invariant
释义	Tensor invariant 英语百科 Invariants of tensors （重定向自Tensor invariant） In mathematics, in the fields of multilinear algebra and representation theory, invariants of tensors are coefficients of the characteristic polynomial of the tensor A: where $\mathbf E$ is the identity tensor and $\lambda\in\mathbb C$ is the polynomial's indeterminate (it is important to bear in mind that a polynomial's indeterminate $\lambda$ may also be a non-scalar as long as power, scaling and adding make sense for it, e.g., $p(\mathbf A)$ is legitimate, and in fact, quite useful).
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