Stanley's Formula for Characters of the Symmetric Group
Féray, Valentin
HAL, hal-00418451 / Harvested from HAL
Text on HAL
R. Stanley has found a nice combinatorial formula for characters of irreducible representations of the symmetric group of rectangular shape. Then, he has given a conjectural generalisation for any shape. Here, we will prove this formula using shifted Schur functions and Jucys-Murphy elements.
Publié le : 2010-02-01
Classification:  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO],  [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT] 
@article{hal-00418451,
     author = {F\'eray, Valentin},
     title = {Stanley's Formula for Characters of the Symmetric Group},
     journal = {HAL},
     volume = {2010},
     number = {0},
     year = {2010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00418451}
}

Féray, Valentin. Stanley's Formula for Characters of the Symmetric Group. HAL, Tome 2010 (2010) no. 0, . http://gdmltest.u-ga.fr/item/hal-00418451/