Lagrangian extensions and left-symmetric structures on the four-dimensional real Lie superalgebras
Abstract
UDC 512.81; 512.55 Over real numbers, Backhouse classified all four-dimensional Lie superalgebras. From this list, we investigate the Lie superalgebras that can be obtained as Lagrangian extensions. Moreover, we study left-symmetric structures on these Lie superalgebras. Furthermore, except two of them, we show that they are all Novikov superalgebras.
Fields of Study & Subjects
Advanced Topics in Algebra
Algebraic structures and combinatorial models
Nonlinear Waves and Solitons
Publication details
- Journal / source
- Ukrains’kyi Matematychnyi Zhurnal
- Publisher
- SIGMA (Symmetry, Integrability and Geometry: Methods and Application)
- Volume
- 78
- Issue
- 9-10
- Pages
- 810–810
- Publication date
- 20 September 2026
- Language
- EN