Expression of theSU(2) rotation matrices D( j ) in terms of normalized irreducible tensorial matrices

Finite Group Theory for Large Systems. 2. Generating Relations and Irreducible Representations for the Icosahedral Point Group, h

“…where i is the imaginary. Let the 3 × 3 matrix in (2.3) be designated [S], then transformation is The positive polar angle θ is obtained from the formula 15 and the polar angle φ from…”

“…The polar angles of the rotation axes were determined by first transforming the matrices to the complex D (1) transformation matrices of the spherical harmonics, { Y 1 - 1 , Y 10 , Y 11 }: where i is the imaginary. Let the 3 × 3 matrix in (2.3) be designated [ S ], then transformation is The positive polar angle θ is obtained from the formula and the polar angle φ from …”