高次对称张量类的结构

Journal of Research of the National Bureau of Standards, Section B: Mathematical Sciences Pub Date : 1976-04-01 DOI:10.6028/JRES.080B.026

R. Merris

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引用次数: 4

摘要

本文研究了由c和c的类型变化产生的c和c的类型变化引起的c和c的类型变化引起的c和c的类型变化引起的c和c的类型变化引起的c的类型变化。如果X是0的1次幂，那么我们知道一个带m的函数可以从下面的线性向量中引出一个系统的向量。当X的度数大于r > 1时，没有发现任何可行的结构。在某些特殊情况下，对困难进行了讨论，并对结果进行了确定。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The structure of higher degree symmetry classes of tensors

The pape r is concerned with sy mm et ry c lasses of te nso rs whic h a ri se fro m a pe rmut ation gro up C a nd irred uc ible c ha racte r X of C . In case X is o f degree 1, a we ll-kno wn a lgo rith m is ava ilab le fo r induc ing a bas is of the sym me try c lass from the unde rl ying vecto r s pace. Whe n the degree of X is grea te r than 1, no com pa ra ble construc tion has been di scove red . The diffi c ulties are d isc ussed and result s obt a ined in some spec ia l cases.

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Journal of Research of the National Bureau of Standards, Section B: Mathematical Sciences

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