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

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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 (Unpublished)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:	https://mural.maynoothuniversity.ie/id/eprint/2156
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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

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