Decomposition matrices for spin characters of symmetric groups
Decomposition matrices for spin characters of symmetric groups
复制标题
对称群自旋特征的分解矩阵
DOI：
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发表时间：
1994
期刊：
影响因子：
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通讯作者：
J. B. Olsson
中科院分区：
文献类型：
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作者：
C. Bessenrodt;A. Morris;J. B. Olsson
给出了奇素数p的对称群Sn的自旋特征标的分解矩阵的确定方法，得到了一些一般性结果，它们是普通特征标相应结果的非平凡修正.该方法被用来确定分解矩阵为3 n ll，和p = 3，但在n = 9的情况下，一个有趣的歧义。第二作者将分别处理p = 5，7，11的情况。
Synopsis Methods are developed for determining the decomposition matrices for the spin characters of the symmetric groups Sn for an odd prime p. Some general results are obtained which are non-trivial modifications of the corresponding results for ordinary characters. The methods are used to determine the decomposition matrices for 3 ≦ n ≦ ll, and p = 3 but with an interesting ambiguity in the case n = 9. The second author will deal separately with the cases p = 5, 7, 11.