paper

Lagrangian extensions and left symmetric structures on the four-dimensional real Lie superalgebras

arXiv:2410.01520

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.

36 pages; to appear in the Ukrainian Mathematical Journal

Lagrangian extensions and left symmetric structures on the four-dimensional real Lie superalgebras · wovepaper