2017/09/03 by Alice Fialowski, Fialowski Alice, Alice, Fialowski +2 · 2 citations
Mathematics · Physics and Astronomy · #13D10 #14B12 #14D15 (Primary) #16E40 #16S80 #17B55 #17B70 (Secondary) #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Mathematics #Modular equation #Moduli #Moduli of algebraic curves #Moduli space #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Representation Theory (math.RT) #math.RT #msc:13D10 #msc:14B12 #msc:14D15 #msc:16E40 #msc:16S80 #msc:17B55 #msc:17B70
paper · pdf · doi:10.48550/arxiv.1709.00764
published in arXiv (Cornell University) (Cornell University) · 28 pages
arxiv created 2017/09/03 · openalex publication_date 2017/09/03 · arxiv updated 2017/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we study moduli spaces of low dimensional complex Lie superalgebras. We discover a similar pattern for the structure of these moduli spaces as we observed for ordinary Lie algebras, namely, that there is a stratification of the moduli space by projective orbifolds. The moduli spaces consist of some families as well as some singleton elements. The different strata are linked by jump deformations, which gives a uniques manner of decomposing the moduli space which is consistent with deformation theory.