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decomposition of tensor powers
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Quelu  
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  More options Sep 7, 4:26 am
Newsgroups: sci.math
From: Quelu <qquelu_the_@_sign_yahoo.com>
Date: Sun, 07 Sep 2008 12:26:52 +0200
Local: Sun, Sep 7 2008 4:26 am
Subject: decomposition of tensor powers
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Hi,

According to Fulton and Harris' "Representation Theory: a first course",
  a tensor power V^*d can be written as a direct sum of tensor products
of S(V), where S is the Schur functor. However, from the proof in that
text, it would seem that is a direct sum of *direct sums* of S(V).
Does any one know which is correct, or are they equivalent?

Thanks,
Qu


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