Geodesic
Lie Superalgebras Based on a 3-Dimensional Real or Complex Lie Algebra
Journal of Lie theory, Tome 16 (2006) no. 3, pp. 539-56
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\def\g{{\frak g}} We give a complete classification of real and complex Lie superalgebras $\g_0\oplus\g_1$, for which $\g_0$ is a $3$-dimensional Lie algebra, and $\g_1$ is $\g_0$ itself under the adjoint representation.
Classification : 17B70, 81R05, 15A21, 15A63, 17B81
Mots-clés : Lie superalgebras, adjoint representation, symmetric equivariant maps 
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     author = {I. Hern\'andez and G. Salgado and O. A. S\'anchez-Valenzuela},
     title = {Lie {Superalgebras} {Based} on a {3-Dimensional} {Real} or {Complex} {Lie} {Algebra}},
     journal = {Journal of Lie theory},
     pages = {539--56},
     year = {2006},
     volume = {16},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JLT_2006_16_3_JLT_2006_16_3_a6/}
}
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I. Hernández; G. Salgado; O. A. Sánchez-Valenzuela. Lie Superalgebras Based on a 3-Dimensional Real or Complex Lie Algebra. Journal of Lie theory, Tome 16 (2006) no. 3, pp. 539-56. http://geodesic.mathdoc.fr/item/JLT_2006_16_3_JLT_2006_16_3_a6/