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Stanley's character polynomials and coloured factorisations in the symmetric group

By Amarpreet Rattan

Abstract

In Stanley [R.P. Stanley, Irreducible symmetric group characters of rectangular shape, Sém. Lothar. Combin. 50 (2003) B50d, 11 p.] the author introduces polynomials which help evaluate symmetric group characters and conjectures that the coefficients of the polynomials are positive. In [R.P. Stanley, A conjectured combinatorial interpretation of the normalised irreducible character values of the symmetric group, math.CO/0606467, 2006] the same author gives a conjectured combinatorial interpretation for the coefficients of the polynomials. Here, we prove the conjecture for the terms of highest degree

Topics: ems
Publisher: Elsevier
Year: 2008
OAI identifier: oai:eprints.bbk.ac.uk.oai2:2887

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Citations

  1. (2003). Characters of symmetric groups and free cumulants. doi
  2. (1998). Representations of the symmetric groups and free probability. doi
  3. (1992). The combinatorial relationship between trees, cacti and certain connection coefficients for the symmetric group. doi
  4. (2007). An explicit form for Kerov’s character polynomials. doi
  5. (2007). Positivity results for Stanley’s character polynomials. doi
  6. Free probability and representations of large symmetric groups, doi
  7. (2006). Asymptotics of characters of symmetric groups, genus expansion and free probability. doi
  8. (2003). Irreducible symmetric group characters of rectangular shape.
  9. (2006). A conjectured combinatorial interpretation of the normalized irreducible character values of the symmetric group. math.CO/0606467,

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