Good gradings of basic Lie superalgebras |
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Authors: | Crystal Hoyt |
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Institution: | 1. Department of Mathematics, Bar-Ilan University, Ramat Gan, 52900, Israel
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Abstract: | We classify good ?-gradings of basic Lie superalgebras over an algebraically closed field $\mathbb{F}$ of characteristic zero. Good ?-gradings are used in quantum Hamiltonian reduction for affine Lie superalgebras, where they play a role in the construction of super W-algebras. We also describe the centralizer of a nilpotent even element and of an $\mathfrak{s}\mathfrak{l}_2$ -triple in $\mathfrak{g}\mathfrak{l}\left( {\left. m \right|n} \right)$ and $\mathfrak{o}\mathfrak{s}\mathfrak{p}\left( {\left. m \right|2n} \right)$ . |
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