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arXiv · 1010.3412

Good gradings of basic Lie superalgebras

Crystal Hoyt
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Abstract

We classify good Z-gradings of basic Lie superalgebras over an algebraically closed field of characteristic zero. Good Z-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 sl(2)-triple in gl(m|n) and osp(m|2n).

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Crystal Hoyt. 2010-10-17. Good gradings of basic Lie superalgebras. https://arxiv.org/abs/1010.3412

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