A conjectured combinatorial interpretation of the normalized irreducible character values of the symmetric group

2006/06/19 by Richard P. Stanley, Stanley, Richard P.
Engineering · Mathematics · #05E10 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #graph theory and CDMA systems #math.CO #msc:05E10

paper · pdf · doi:10.48550/arxiv.math/0606467

6 pages, 1 figure. Minor corrections

openalex publication_date 2006/06/19 · arxiv created 2006/07/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In math.CO/0109093 the author obtained a formula for the value of an irreducible symmetric group character indexed by a partition of rectangular shape. In the present paper this formula is (conjecturally) generalized to arbitrary shapes.

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