论文标题
张量多项式身份
Tensor polynomial identities
论文作者
论文摘要
张量多项式身份将多项式身份的概念推广到$ d \ times d $矩阵上张张产品空间上的身份。在这里，我们完全根据其相关的年轻tableaux来表征某种张量的多项式身份。此外，我们提供了一种评估$ d^2 $变量中任意交替的张量多项式的方法。
Tensor polynomial identities generalize the concept of polynomial identities on $d \times d$ matrices to identities on tensor product spaces. Here we completely characterize a certain class of tensor polynomial identities in terms of their associated Young tableaux. Furthermore, we provide a method to evaluate arbitrary alternating tensor polynomials in $d^2$ variables.
