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    On negative orbits of finite coxeter groups

    Perkins, Sarah and Rowley, P.J. (2004) On negative orbits of finite coxeter groups. Journal of Algebraic Combinatorics 20 (1), pp. 17-31. ISSN 0925-9899.

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    Abstract

    For a Coxeter group W, X a subset of W and α a positive root, we define the negative orbit of α under X to be {w · α | w ∈ X}∩ Φ−, where Φ− is the set of negative roots. Here we investigate the sizes of such sets as α varies in the case when W is a finite Coxeter group and X is a conjugacy class of W.

    Metadata

    Item Type: Article
    Additional Information: Perkins is the maiden name of Sarah Hart.
    School: School of Business, Economics & Informatics > Economics, Mathematics and Statistics
    Depositing User: Sarah Hall
    Date Deposited: 30 Jun 2020 08:23
    Last Modified: 30 Jun 2020 11:19
    URI: https://eprints.bbk.ac.uk/id/eprint/32401

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