Proof of Stanley's conjecture about irreducible character values of the symmetric group

Details Proof of Stanley's conjecture about irreducible character values of the symmetric group Proof of Stanley's conjecture about irreducible character values of the symmetric group

2006-12-04

arxiv.org/abs/math/0612090v1

Stanley's Formula for Characters of the Symmetric Group, Ann. Comb., 13 (4), pp. 453-461, 2010.

Mathematics

Combinatorics

9 pages

Scientific paper

10.1007/s00026-009-0038-5

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.

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