Good gradings of basic Lie superalgebras
Representation Theory
2011-06-28 v3
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).
Cite
@article{arxiv.1010.3412,
title = {Good gradings of basic Lie superalgebras},
author = {Crystal Hoyt},
journal= {arXiv preprint arXiv:1010.3412},
year = {2011}
}
Comments
22 pages, minor revisions