Irreducible Symmetric Group Characters of Rectangular Shape

2001/09/14 by Richard P. Stanley, Stanley, Richard P.
Mathematics · #05E10 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #math.CO #math.RT #msc:05E10

paper · pdf · doi:10.48550/arxiv.math/0109093

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

arxiv created 2002/12/17 · arxiv updated 2009/11/30

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.

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