论文标题
不变理论的张量基本定理
Tensor fundamental theorems of invariant theory
论文作者
论文摘要
本文的目的是为$ k $ $ k $的$ gl(v)$ quivariant多项式图建立第一和第二个基本定理 - 矩阵变量$ end(v)^{k} $ tensor Spaces $ end(v)$ end(v)符号代数。
The aim of this paper is to establish a first and second fundamental theorem for $GL(V)$ equivariant polynomial maps from $k$--tuples of matrix variables $End(V)^{ k} $ to tensor spaces $End(V)^{ \otimes n}$ in the spirit of H. Weyl's book {\em The classical groups} \cite{Weyl} and of symbolic algebra.