Character restrictions and multiplicities in symmetric groups
نویسندگان
چکیده
منابع مشابه
Regular Character Tables of Symmetric Groups
We generalize a well-known result on the determinant of the character tables of finite symmetric groups. It is a well-known fact that ifXn is the character table of the symmetric group Sn, then the absolute value of the determinant of Xn equals an, which is defined as the product of all parts of all partitions of n. It also equals bn, which is defined as the product of all factorials of all mul...
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The relationships between the values taken by ordinary characters of symmetric groups are exploited to prove two theorems in the modular representation theory of the symmetric group. 1. The decomposition matrices of symmetric groups in odd characteristic have distinct rows. In characteristic 2 the rows of a decomposition matrix labelled by the different partitions λ and μ are equal if and only ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2017
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2017.01.021