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PSL(2,7) and its representations

  1. Apr 20, 2012 #1
    I have been playing around with representations of discrete groups using the GAP software and I have noticed that PSL(2,7) is the only group (as far as I can find) with a tensor product expansion 3x3=6+3'. 6 is symmetric and 3' is antisymmetric. ie. PSL(2,7) is the only group having the tensor product of two 3s decomposing into two representations- one of which consisting of all the symmetric combinations and the other one consisting of all the antisymmetric combinations. Is this observation correct?
    Last edited: Apr 20, 2012
  2. jcsd
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