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Homework Help: 4d representation of SO(3)

  1. Apr 4, 2009 #1
    1. The problem statement, all variables and given/known data
    Find the generators of the four dimensional irreducible representation of SO(3), such that J_3 is diagonal.

    3. The attempt at a solution
    I know how to get the rest if I know J_3, by using ladder operators. But what is J_3?
    For a 3d representation it's diagonal with 1,0-1, in 4d would it be 3/2, 1/2, -1/2 -3/2? Wasn't orbital angular momentum supposed to be of integer values, or did I forget QM so bad?

    Thanks for any help

    nevermind, it is obviously not necessarily orbital angular momentum so that works..
    Last edited: Apr 4, 2009
  2. jcsd
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