Maynooth University

Maynooth University ePrints and eTheses Archive

Maynooth University Library

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 (Unpublished)

[img] Download (164kB)

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;
Subjects: Science & Engineering > Mathematics & Statistics
Item ID: 2156
Depositing User: Dr. John Murray
Date Deposited: 07 Oct 2010 13:47
Journal or Publication Title: Preprint
Refereed: No
URI:

    Repository Staff Only(login required)

    View Item Item control page

    Document Downloads

    More statistics for this item...