线性变换张量积的Jordan-Chevalley分解

Jordan-Chevalley Decomposition of the Tensor Product of Linear Transformations

研究了线性变换张量积的Jordan-Chevalley分解相关理论.首先利用矩阵表示来讨论2个线性变换张量积的一些基本性质,接着证明了2个线性变换张量积的Jordan-Chevalley分解的唯一存在性,最后利用这些结论给出了Jordan-Chevalley分解的具体表达式.

In order to study the Jordan Chevalley decomposition theory of the tensor product of linear transformations,it was suggested to discuss firstly some properties of the tensor product of two linear transformations via its matrix representation,then prove the unique existence of such decomposition,and give a specific expression.