Singular vector formulas for Verma modules of simple Lie superalgebras

Abstract For a simple Lie superalgebra of type BDFG, we give explicit formulas for singular vectors in a Verma module of highest weight λ − ρ , which have weight s γ λ − ρ for certain positive non-isotropic roots γ . This implies the existence of a nonzero homomorphism between the corresponding Verma modules.