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

    Rattan, Amarpreet (2008) Stanley's character polynomials and coloured factorisations in the symmetric group. Journal of Combinatorial Theory, Series A 115 (4), pp. 535-546. ISSN 00973165.

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    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.


    Item Type: Article
    Keyword(s) / Subject(s): Combinatorics, representation theory, symmetric group
    School: Birkbeck Schools and Departments > School of Business, Economics & Informatics > Economics, Mathematics and Statistics
    Depositing User: Administrator
    Date Deposited: 01 Dec 2010 11:36
    Last Modified: 22 Aug 2016 15:18


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