Eight-dimensional non completely reducible symplectic Lie algebras
Symplectic Geometry
2025-06-25 v2
Abstract
A non completely reducible symplectic Lie algebra is a symplectic Lie algebra which cannot be symplectically reduced to the trivial symplectic Lie algebra. Our aim is to provide a complete classification, up to symplectomorphism of non completely reducible symplectic Lie algebras in dimensions and, furthermore, to provide a complete description of symplectic Lie algebras admitting one-dimensional isotropic ideals.
Keywords
Cite
@article{arxiv.2506.13699,
title = {Eight-dimensional non completely reducible symplectic Lie algebras},
author = {T. Aït Aissa and S. El Bourkadi and M. W. Mansouri and SM. Sbai},
journal= {arXiv preprint arXiv:2506.13699},
year = {2025}
}