Abstract
In this paper, we present a method of symplectic double extensions for restricted quasi-Frobenius Lie superalgebras. Certain cocycles in the restricted cohomology represent obstructions to symplectic double extension, which we fully describe. We found a necessary condition for which a restricted quasi-Frobenius Lie superalgebras is a symplectic double extension of a smaller restricted Lie superalgebra. The constructions are illustrated with a few examples.
Original language | English (US) |
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Article number | 070 |
Journal | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
Volume | 19 |
DOIs | |
State | Published - 2023 |
Keywords
- double extension
- quasi-Frobenius Lie (super)algebra
- restricted Lie (super)algebra
ASJC Scopus subject areas
- Analysis
- Mathematical Physics
- Geometry and Topology