On the Analysis of the Kronecker Product of Irreducible Representations of the Symmetric Group
On the Analysis of the Kronecker Product of Irreducible Representations of the Symmetric Group
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对称群不可约表示的克罗内克积分析
DOI：
10.1017/s0013091500002686
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发表时间：
1949
影响因子：
0.5
通讯作者：
R. H. Makar
中科院分区：
文献类型：
--
作者：
R. H. Makar
n个字母上对称群的两个不可约矩阵表示D（A），D（fi）的克罗内克积表示了该群的一个表示，该表示一般是可约的。在分析这类乘积时会出现什么样的不可约表示的问题，F。D.默纳汉实际上，他已经获得了D（n-p，Aa，.）xD（n-q，[i]），对于特定的值，p = 1，q = 1，2，3，4，5; p = 2，q = 2，3，4; p - 3，q = 3，4，应用一种递归的方法，在某种意义上说，为了得到这样的分析，我们必须看一些其他的分析，这些分析按顺序首先出现。
The Kronecker product of two irreducible matrix representations D (A), D (fi) of the symmetric group on n letters, furnishes a representation of that group, which is, in general reducible. The question of what irreducible representations will appear in the analysis of such products has been dealt with by Prof. F. D. Murnaghan. Indeed he has obtained the analysis of D (n — p, Aa,...) x D (n — q, [i ), for the particular values, p = 1, q = 1, 2, 3, 4, 5; p = 2, q = 2, 3, 4; p — 3, q = 3, 4, applying a method which is a recurrence one, in the sense that to obtain such an analysis we have to look at some other analyses which come first in order.