广义对称张量相等的条件  

The Condition for Equality of Generalized Symmetric Tensors

作　　者：王心介[1] 

机构地区：[1]华中理工大学数学系

出　　处：《华中理工大学学报》1998年第10期105-108,共4页Journal of Huazhong University of Science and Technology

基　　金：国家自然科学基金资助项目(69674008)

摘　　要：讨论了由广义对称算子诱导的两非零广义对称张量相等的充要条件和广义对称张量为零的充要条件．这里不要求形成可合张量ｗ＝ｘ１　ｘ２　…ｘｎ的ｘ１，ｘ２，…，Ｘｎ是线性无关的．In the paper, let T=(1/g)ΣM(σ) P(σ), where M is a unitary matrix representation of the group G, and P(σ) the permutation operator on W= V. A generalized symmetric tensor is a ten- sor of the form T(u w), where u U and w is a decomposable tensor of W. The necessary and suffi- cient conditions have been discussed under which two nonzero generalized symmetric tensors are e- qual, and the necessary and sufficient conditions have also been discussed under which a generalized symmetric tensors is zero, where we drop assumption of linear independence on vectors x1, x2,…, xn which forming decomposable tensor w=x1 x2 … xn.

关 键 词：酉表示 广义对称张量 相伴矩阵 

分 类 号：O151.2[理学—数学]