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Irreducible Representations of so(4,C)

  1. Aug 2, 2009 #1
    Does anyone know how to classify the finite-dimensional irreducible representations of so(4,C)? Can they all be built from irreducible reps of sl(2,C) given the fact that so(4,C) \cong sl(2,C) \times sl(2,C).

    Thanks!
     
  2. jcsd
  3. Aug 6, 2009 #2

    morphism

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    It depends on what you mean by "built from"!

    For an explicit discussion of the representations of so(4,C) (and IIRC so(n,C) for n<8) see Fulton and Harris's Representation Theory.
     
  4. Aug 6, 2009 #3
    Thanks morphism.

    By "build from" I meant taking a tensor product of sl(2,C) modules.

    I'll give Fulton and Harris another look.

    Thanks again.
     
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