Skip to main content
Article thumbnail
Location of Repository

An explicit form for Kerov’s character polynomials

By I. P. Goulden and A. Rattan

Abstract

Abstract. Kerov considered the normalized characters of irreducible representations of the symmetric group, evaluated on a cycle, as a polynomial in free cumulants. Biane has proved that this polynomial has integer coefficients, and made various conjectures. Recently, ´ Sniady has proved Biane’s conjectured explicit form for the first family of nontrivial terms in this polynomial. In this paper, we give an explicit expression for all terms in Kerov’s character polynomials. Our method is through Lagrange inversion. 1

Publisher: Philippe.Biane@ens.fr
Year: 2005
OAI identifier: oai:CiteSeerX.psu:10.1.1.134.6767
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://www.math.uwaterloo.ca/~... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.