Let U = e iG 3 e iG2 e iG3 , where (a ,, ) are the Eulerian angles. In order that U

Let U = e^iG3αe^iG2β e^iG3γ, where (a ,β, γ) are the Eulerian angles. In order that U represent a rotation (a ,β, γ), what are the commutation rules that must be satisfied by the G_k? Relate G to the angular-momentum operators.