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Stanley's Formula for Characters of the Symmetric Group
Valentin Féray
LaBRI, Université Bordeaux 1, 351 cours de la lib´eration, 33 400 Talence, France
feray@labri.fr
Annals of Combinatorics 13 (4) pp.453-461 December, 2009
AMS Subject Classification: 20C30, 05E10
Abstract:
In his paper [9], Stanley finds a nice combinatorial formula for characters of irreducible representations of the symmetric group of rectangular shape. Then, in [10], he gives a conjectural generalisation for any shape. Here, we will prove this formula using shifted Schur functions and Jucys-Murphy elements.
Keywords:representations of the symmetric group, shifted Schur functions, Jucys-Murphy elements

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