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Geometry and coefficients of Šapovalov elements for KM Lie superalgebras
We study Shapovalov elements for a symmetrizable, integrable Kac-Moody Lie superalgebra $\mathfrak{g}$. Let $γ$ be a positive root of $\mathfrak{g}$ and $m$ a positive integer, with suitable conditions on the pair $(γ, m).$ The Shapovalov element $θ_{γ,m}\in U(\mathfrak{b}^-) $ has the important pro
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