Explicit expressions for the central characters of the symmetric group
نویسندگان
چکیده
منابع مشابه
An explicit formula for the characters of the symmetric group
The characters of the irreducible representations of the symmetric group play an important role in many areas of mathematics. However, since the early work of Frobenius [5] in 1900, no explicit formula was found for them. The characters of the symmetric group were computed through various recursive algorithms, but explicit formulas were only known for about ten particular cases [5, 9]. The purp...
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15 صفحه اولThe characters of the symmetric group.
A short and simple derivation of the formula of Frobenius, which gives the dimensions of the irreducible representations of S(n), the symmetric group on any number, n, of symbols, is given. These dimensions are the characters of the identity element of the group, i.e., of the element all of whose cycles are unary. It is shown how a slight modification of Frobenius' formula yields, when n = 2p i...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1996
ISSN: 0166-218X
DOI: 10.1016/0166-218x(95)00016-k