Clebsch-Gordan decomposition for SU2
= Clebsch-Gordan decomposition for SU2
{c}
For $m,n\geq0$,
$$
V_m\otimes V_n\cong
\bigoplus_{j=0}^{\min(m,n)}V_{m+n-2j}.
$$
The identity follows by multiplying the weight characters and comparing their nested weight strings.