Abstract
The coefficients of fractional parentage (CFPs) for a double-j fermion system are defined. The CFPs are given when the wave functions are classified according to the group chains U(N) ⊃ U(N1) × U(N2) ⊃ SP(N1) × SP(N2) ⊃ O(31) × O(32) ⊃ O(3) and U(N) ⊃ SP(N) ⊃ SP(N1) × SP(N2) ⊃ O(31) × O(32) ⊃ O(3). Using these CFPs many repeating calculations can be avoided.
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