Lagrangian extensions and left symmetric structures on the four-dimensional real Lie superalgebras
Representation Theory
2026-03-09 v2
Abstract
Over real numbers, Backhouse classified all four-dimensional Lie superalgebras. From this list, we will investigate those Lie superalgebras that can be obtained as Lagrangian extensions. Moreover, we investigate left-symmetric structures on these Lie superalgebras. Furthermore, except for two of them, they are all Novikov superalgebras.
Keywords
Cite
@article{arxiv.2410.01520,
title = {Lagrangian extensions and left symmetric structures on the four-dimensional real Lie superalgebras},
author = {Sofiane Bouarroudj and Ana-Maria Radu},
journal= {arXiv preprint arXiv:2410.01520},
year = {2026}
}
Comments
36 pages; to appear in the Ukrainian Mathematical Journal