Good gradings of basic Lie superalgebras

Details Good gradings of basic Lie superalgebras Good gradings of basic Lie superalgebras

2010-10-17

arxiv.org/abs/1010.3412v3

Mathematics

Representation Theory

22 pages, minor revisions

Scientific paper

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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