Recent content by aziz113

The finite-dimensional, irreducible representation of sl(2,C) \oplus sl(2,C) are precisely of the form V \otimes W, where V and W are finite-dimensional, irreducible representations of sl(2,C). The sl(2,C)-irreps V may be classified by a single natural number n, and the irreps V \otimes W of...

The group G that you've presented is certainly noncyclic. Here is a proof: For any element g in G, g2=1. However, the order of the group is 4, and so no single element can generate the group. Thus the group is not cyclic. Hope that helps!

1. When they speak of generators they are referring to the Lie algebra of SU(3). This is the Lie algebra of traceless 3 X 3 matrices. This forms a vector space of dimension 8: 2 diagonal matrices E11-E22, E22-E33, and 6 non-diagonal matrices E12, E13, E21, E23, E31, E32 where Eij is the...

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.

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!