ωF = -Φ, ωF* = -iμψ, ωf = -εΦ, ωf* = -iψ.
and applying the relation (45) and (46), we have
F = [ω. Φ] + iμ[ω. ψ]* 55)
f = ε[ω. Φ] + i[ω. ψ]* 56)
i.e.
F₁₂ = (ω₁ Φ₁ - ω₂ Φ₁) + iμ [ω₃ Ψ₄ - ω₄ ψ₃], etc.
f₁₂ = ε(ω₁ Φ₂ - ω₂ φ₁) + i [ω₃ ψ₄ - ω₄ ψ₃]., etc.
Let us now consider the space-time vector of the second kind [Φ ψ], with the components
[ Φ₂ ψ₃ - Φ₃ ψ₂, Φ₃ ψ₁ - Φ₁ ψ₃, Φ₁ ψ₂ - Φ₂ ψ₁ ]
[ Φ₁ ψ₄ - Φ₄ ψ₁, Φ₂ ψ₄ - Φ₄ ψ₂, Φ₃ ψ₄ - Φ₄ ψ₃ ]