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Journal of the London Mathematical Society 2003 67(1):85-102; doi:10.1112/S0024610702003824
© 2003 by London Mathematical Society
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© The London Mathematical Society

On the Structure of Specht Modules

Matthew Fayers

Magdalene College Cambridge CB3 0AG

Received 29 November 2001. Revision received 20 March 2002.

Most of our notation is taken from James [7], where further details of the representation theory of the symmetric groups may be found; note, however, that we write functions on the left.

Let n be a non-negative integer, and {lambda} a partition of n. Say that two {lambda}-tableaux are row equivalent if one can be obtained from the other by permuting the entries within each row, and define column equivalence similarly. Let ~row and ~col denote these relations.


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