张量空间-基础知识

摘要：

我们提出了向量空间的张量积的基本概念，强调应用研究领域所需的线性代数和组合技术。主题包括：（1）导论;（2）基本多重线性代数;（3）向量空间的张量积;（4）矩阵的张量积;（5）张量空间上的内积;（6）直和与张量积;（7）背景概念和符号。

英文摘要：

We present the basic concepts of tensor products of vector spaces, emphasizing linear algebraic and combinatorial techniques as needed for applied areas of research. The topics include (1) Introduction; (2) Basic multilinear algebra; (3) Tensor products of vector spaces; (4) Tensor products of matries; (5) Inner products on tensor spaces; (6) Direct sums and tensor products; (7) Background concepts and notation.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。