Singular vector formulas for Verma modules of simple Lie superalgebras

2017/10/27 by Thomas Sale, Sale, Thomas
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1710.09966

openalex publication_date 2017/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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_γλ- ρ for certain positive non-isotropic roots γ. This implies the existence of a nonzero homomorphism between the corresponding Verma modules.

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