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Singular vector formulas for Verma modules of simple Lie superalgebras

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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… Click to show full abstract

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.

Keywords: verma modules; modules simple; simple lie; singular vector; vector formulas; formulas verma

Journal Title: Journal of Algebra
Year Published: 2019

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