Séminaire Lotharingien de Combinatoire, B50d (2004), 11 pp.
Richard P. Stanley
Irreducible Symmetric Group Characters of Rectangular Shape
Abstract.
We give a new formula for the values of the symmetric group characters
indexed by a rectangular shape. In the second part, we investigate the
nature of the values of symmetric group characters indexed by arbitrary
shapes. We show that, after appropriate normalization,
these are polynomials in parameters that naturally
encode the shapes, and we present a conjecture pertaining to the sign
of the coefficients of these polynomials.
Received: October 29, 2003.
Accepted: January 17, 2004.
Final Version: February 13, 2004.
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