A unified theory of the point groups and their general irreducible representations
Shoon K. Kim · Journal of Mathematical Physics · 1981
Point groups and their general irreducible (vector and projective) representations are characterized by the subgroup conditions for SU(2) in a unified scheme: these conditions are given by simple polynomial equations imposed on the matrix elements of the 2×2 unitary matrices of SU(2). The general irreducible representations for the point groups D∞,Dn (with arbitrary integer n?2), O, and T are given by four simple and effective tables.