Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: PSL(2,7) and its representations
Loading...