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I have a problem. Consider the representation of SU(2) which maps every [tex] U \in SU(2)[/tex] into itself, i.e. [tex] U \mapsto U [/tex], and the vector space is given by [tex] \mathbb{C}^{2} [/tex] with the basis vectors [tex] e_{1} = (1,0) [/tex] and [tex]e_{2} = (0,1) [/tex]

How do I show that the tensor product (Kronecker) of the representation with itself on [tex] V \otimes V [/tex] is reducible?

Unfortunetly I don't know how to do that. Has anyone an idea?

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# Products of representations

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