Polynomial tensors for double point groups

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Abstract
Generating functions for (Γ r ,Γ m ) tensors for each pair of irreducible representations Γ r and Γ m are calculated for each double point group. A (Γ r ,Γ m ) tensor transforms according to Γ r and its components are polynomials in another tensor transforming by Γ m . The actual tensors are given for the groups (d) C n , (d) D n , (d) T and for some representations Γ m of (d)0. Certain of the polynomialtensors provide polynomial SU(2) bases reduced according to the double point group in question.