[en] The present work continues the determination (started insup(/6/)) of the representations p of semisimple Lie algebras L for which Tsub(σsup((2))(p)sigh-identity Tsub(σ)sup((2)) (x₁, ..., xsub(n)).=0, where Tsub(σ)sup((2)) (x₁, ..., xsub(n)) is a tensor operator transforming under a subrepresentation σ of (ad x ad)sub(s), and xsub(i) are the generators of p. For L=so(2n, c) it is proved that if σ=(Λ₄), then p=(kΛ₁) and that if σ=(2Λ₂), then p=(Λsub(n). For L=sp(2n, c) it is proved that of σ=(4Λ₁), then p=(Λ₁) and if σ=(2Λ₂), then there exists no solution to the equation Tsup(2)sub(2Λsub(2))(p)=0. (Λsub(i) is the highest weight of the fundamental representation (Λsub(i)) (i=1, ..., n))