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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).

  2. jcsd
  3. Aug 6, 2009 #2


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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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