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Show that the matrices [itex] \mathcal{D}_{m',m}^{(j)}=\langle j,m'|\exp(-\frac{i}{\hbar}\vec{J}\hat{n}\Phi)|j,m\rangle[/itex] form a group (i.e. multiplication, inverse and identity). No idea how to even begin.

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# Homework Help: Wigner D-matrix

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