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Singular vector formulas for Verma modules of simple Lie superalgebras (1710.09966v3)
Published 27 Oct 2017 in math.RT
Abstract: For a simple Lie superalgebra of type BDFG, we give explicit formulas for singular vectors in a Verma module of highest weight $\lambda - \rho$, which have weight $s_{\gamma}\lambda - \rho$ for certain positive non-isotropic roots $\gamma.$ This implies the existence of a nonzero homomorphism between the corresponding Verma modules.