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 (Unpublished)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 |
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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: | |
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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