2010/10/17 by Crystal Hoyt, Hoyt, Crystal · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.RT
paper · pdf · doi:10.48550/arxiv.1010.3412
22 pages, minor revisions
openalex publication_date 2010/10/17 · arxiv created 2011/06/27 · arxiv updated 2011/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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).