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math.RT2024
Lagrangian extensions and left symmetric structures on the four-dimensional real Lie superalgebras
Sofiane Bouarroudj, Ana-Maria Radu
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 exten…
math.RT2024★ 1 cited
Double extensions of quasi-Frobenius Lie superalgebras with degenerate center
Sofiane Bouarroudj, Quentin Ehret
We develop the process of symplectic double extensions for Lie superalgebras with degenerate center. The construction is a superization of a recent work by Fischer, and generalize…
math.RT2024
Central extensions of restricted Lie superalgebras and classification of -nilpotent Lie superalgebras in dimension
Sofiane Bouarroudj, Quentin Ehret
The first main result of this paper is to build the first and second restricted cohomology groups for restricted Lie superalgebras in characteristic , modifying a construct…