An explicit formula for the characters of the symmetric group

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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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ژورنال

عنوان ژورنال: Mathematische Annalen

سال: 2007

ISSN: 0025-5831,1432-1807

DOI: 10.1007/s00208-007-0156-5