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

Sofiane Bouarroudj, Quentin Ehret, Yoshiaki Maeda

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Article number070
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
StatePublished - 2023


  • double extension
  • quasi-Frobenius Lie (super)algebra
  • restricted Lie (super)algebra

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Geometry and Topology


Dive into the research topics of 'Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras'. Together they form a unique fingerprint.

Cite this