有限维张量置换矩阵
Tensor Permutation Matrices in Finite Dimensions
摘要：
我们用张量积推广了一个4 × 4矩阵的性质，这个矩阵是一个置换矩阵，我们称之为张量交换矩阵。张量交换矩阵可以用或不用微积分来构造。给出了一个构造张量置换矩阵的公式，它是张量交换矩阵的推广。将张量交换矩阵元素的表达式推广到张量置换矩阵的任意元素。用Gell-Mann矩阵表示了一些张量交换矩阵。
英文摘要：
We have generalised the properties with the tensor product, of one 4x4 matrix which is a permutation matrix, and we call a tensor commutation matrix. Tensor commutation matrices can be constructed with or without calculus. A formula allows us to construct a tensor permutation matrix, which is a generalisation of tensor commutation matrix, has been established. The expression of an element of a tensor commutation matrix has been generalised in the case of any element of a tensor permutation matrix. Some tensor commutation matrix has been expressed by using the Gell-Mann matrices.
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