su(2) representations. Decompose the following tensor products of spin representations into a direct sum of spin representations.

(i) $1 \otimes \frac{1}{2}$

(ii) $1 \otimes \frac{1}{2} \otimes 1$

(iii) $\underbrace{\frac{1}{2} \otimes \frac{1}{2} \otimes \frac{1}{2} \otimes \ldots \otimes \frac{1}{2}}_{n \text { factors }}$