Double and Lagrangian extensions for quasi-Frobenius Lie superalgebras
نویسندگان
چکیده
A Lie superalgebra is called quasi-Frobenius if it admits a closed anti-symmetric non-degenerate bilinear form. We study the notion of double extensions when form either orthosymplectic or periplectic. show that every satisfies certain conditions can be obtained as extension smaller superalgebra. classify all 4-dimensional superalgebras, and such superalgebras must solvable. [Formula: see text]-extensions (or Lagrangian extensions) they are classified by cohomology space we introduce. Several examples provided to illustrate our construction.
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ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2022
ISSN: ['1793-6829', '0219-4988']
DOI: https://doi.org/10.1142/s0219498824500014