# Decomposing the direct sum as direct product

This is a basic question in angular momentum in quantum mechanics that I am studying.
I know that $$\frac{1}{2}\otimes \frac{1}{2} = 1\oplus 0$$ What would be a strategy to proving the general statement for spin representations $$j\otimes s =\bigoplus_{l=|s-j|}^{|s+j|} l$$

Related Quantum Physics News on Phys.org
dextercioby