Ellers, Harald and Murray, John
(2007)
The action of the Murphy element on the restricition of an irreducible SnModule to Sn1.
Preprint.
pp. 121.
(Unpublished)
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
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