Proof of Stanley's conjecture about irreducible character values of the symmetric group
arXiv:math/0612090 · doi:10.1007/s00026-009-0038-5
Abstract
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.
9 pages