On the minimal degrees of characters of Sn
On the minimal degrees of characters of Sn
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DOI：
10.1016/0021-8693(77)90366-0
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发表时间：
1977-03
影响因子：
0.9
通讯作者：
Richard Rasala
中科院分区：
文献类型：
--
作者：
Richard Rasala
本文的目的是说明如何获得对称群S_n的不可约特征标的最小次数表。为简洁起见，我们称S的不可约特征标的次数为S的次数。当然，S，的次数只是S，的不可约表示的维数。我们希望展示的这类结果的模型是伯恩赛德定理[2，附录C，第4681页：
The aim of this paper is to show how to obtain lists of the minimal degrees of the irreducible characters of the symmetric group S,. For brevity, we call the degree of an irreducible character of S, simply a degree of S,. Of course, the degrees of S, are just the dimensions of the irreducible representations of S,. A model for the kind of results we wish to show is the theorem of Burnside [2, Appendix C, p. 4681: