2024/08/13 by Sebastiano Argenti, Argenti, Sebastiano, Mikhail Kochetov +3 · 1 citation
Mathematics · Physics and Astronomy · #17B25 #17B70 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2408.06700
openalex publication_date 2024/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We classify up to isomorphism the gradings by arbitrary groups on the exceptional classical simple Lie superalgebras G(3), F(4) and D(2,1;α) over an algebraically closed field of characteristic 0. To achieve this, we apply the recent method developed by A. Elduque and M. Kochetov to the known classification of fine gradings up to equivalence on the same superalgebras, which was obtained by C. Draper et al. in 2011. We also classify gradings on the simple Lie superalgebra A(1,1), whose automorphism group is different from the other members of the A series.