English

Irreducible Symmetric Group Characters of Rectangular Shape

Combinatorics 2007-05-23 v2 Representation Theory

Abstract

We give a new formula for the values of an irreducible character of the symmetric group S_n indexed by a partition of rectangular shape. Some observations and a conjecture are given concerning a generalization to arbitrary shapes.

Keywords

Cite

@article{arxiv.math/0109093,
  title  = {Irreducible Symmetric Group Characters of Rectangular Shape},
  author = {Richard P. Stanley},
  journal= {arXiv preprint arXiv:math/0109093},
  year   = {2007}
}

Comments

11 pages, 2 figures, minor updates and corrections to previous version of 13 September 2001