BIROn - Birkbeck Institutional Research Online

    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.

    [img]
    Preview
    Text (Pre-print)
    2887.pdf

    Download (427kB) | Preview

    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.

    Metadata

    Item Type: Article
    Keyword(s) / Subject(s): Combinatorics, representation theory, symmetric group
    School: Birkbeck Faculties and Schools > Faculty of Business and Law > Birkbeck Business School
    Depositing User: Administrator
    Date Deposited: 01 Dec 2010 11:36
    Last Modified: 02 Aug 2023 16:53
    URI: https://eprints.bbk.ac.uk/id/eprint/2887

    Statistics

    Activity Overview
    6 month trend
    469Downloads
    6 month trend
    343Hits

    Additional statistics are available via IRStats2.

    Archive Staff Only (login required)

    Edit/View Item
    Edit/View Item