Abstract
The 22n ‐dimensional operator algebra constructed on n single‐fermion states is decomposed into irreducible tensor operator spaces with respect to three Lie subalgebras of physical interest: (i) the Lie subalgebra associated with the group SU(n) used in Hartree–Fock theory, (ii) the Lie subalgebra associated with the group SO(2n) used in Hartree–Bogoliubov theory, and (iii) the Lie subalgebra associated with the group SO(2n+1) introduced by Wybourne in atomic applications.
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