Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras
Representation Theory
2023-09-29 v2
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.
Keywords
Cite
@article{arxiv.2301.12385,
title = {Symplectic Double Extensions for Restricted Quasi-Frobenius Lie (Super)Algebras},
author = {Sofiane Bouarroudj and Quentin Ehret and Yoshiaki Maeda},
journal= {arXiv preprint arXiv:2301.12385},
year = {2023}
}