Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2023
• Main Authors: Bouarroudj, Sofiane, Ehret, Quentin, Maeda, Yoshiaki
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2023
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212014
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras. Sofiane Bouarroudj, Quentin Ehret and Yoshiaki Maeda. SIGMA 19 (2023), 070, 29 pages

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 qua...