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引用次数: 14
摘要
． 设X是对称群sn的一个特征表。证明了除非n = 4或n = 6，否则存在一种唯一的方法将n的分区分配给X的行和列，使得对于所有λ和ν， X λν等于X λ (ν)，即在循环型ν的元素上用λ标记的sn的不可约性质的值。对于交替群，以及对称群和交替群的Brauer特征表，证明了类似的结果。
. Let X be a character table of the symmetric group S n . It is shown that unless n = 4 or n = 6, there is a unique way to assign partitions of n to the rows and columns of X so that for all λ and ν , X λν is equal to χ λ ( ν ), the value of the irreducible character of S n labelled by λ on elements of cycle type ν . Analogous results are proved for alternating groups, and for the Brauer character tables of symmetric and alternating groups.
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