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Symmetrizing and skew symmetrizing tensors

  1. Oct 28, 2007 #1
    I understand that all rank 2 tensors can be decomposed into a symmetric and a skew symmetric part, but I don't really understood how this is done. It has something to do with permutations of the indices, I guess, but I never learned anything about what a permutation is. Can anyone explain how one would go about symmetrizing (without assuming I have any knowledge of how to permute something)?
  2. jcsd
  3. Oct 28, 2007 #2


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    Just do it...

    To elaborate, for any pair of vectors [tex]u^a[/tex] and [tex]v^b[/tex]
    Last edited: Oct 28, 2007
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