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Levi-Civita Tensor

  1. Nov 13, 2013 #1
    I have been trying to think about the Levi-Civita tensor in the context of Group Theory. Is there a group that it is symmetric to?

    I'm sorry if this is a double post but I don't think my original identical post submitted correctly.

    Thanks, Nate
  2. jcsd
  3. Dec 17, 2013 #2
    You mean under the composition of Levi Civita?
    For example ##\epsilon_{ijk}\cdot \epsilon_{lmn}##. Well I'm not sure.
  4. Dec 17, 2013 #3


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    Since the Levi Civita symbol is subject to permutations, i think that it has to do with a Symmetric group...
    (it's a guess if someone knows for sure I'd be happy to see it).
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