- #1
parton
- 83
- 1
Hi,
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?
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?