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    The action of the Murphy element on the restricition of an irreducible Sn-Module to Sn-1


    Ellers, Harald and Murray, John (2007) The action of the Murphy element on the restricition of an irreducible Sn-Module to Sn-1. Preprint. pp. 1-21. (Unpublished)

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    Abstract

    We study the irreducible representations of the symmetric group n over a eld F of positive characteristic p. For convenience, but no loss of generality, we shall assume that F is algebraically closed. Let = (1 2 : : : l > 0) be a partition of n. As usual the set of nodes [] := f(i; j) 2 Z2 j 1 i l; 1 j ig is called the Young diagram of . We represent [] as a set of square boxes in Z2, by placing a square with opposite corners (i

    Item Type: Article
    Keywords: action; Murphy element; restricition; irreducible Sn-Module; Sn-1;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 2156
    Depositing User: Dr. John Murray
    Date Deposited: 07 Oct 2010 13:47
    Journal or Publication Title: Preprint
    Refereed: No
    URI:

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