Journal of Lie Theory

no. 3
Lie Superalgebras Based on a 3-Dimensional Real or Complex Lie Algebra
Journal of Lie Theory, Volume 16 (2006) no. 3, pp. 539-560
\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.
DOI: 10.5802/jolt.423
Classification: 17B70, 81R05, 15A21, 15A63, 17B81
Keywords: Lie superalgebras, adjoint representation, symmetric equivariant maps 
@article{JOLT_2006_16_3_a6,
     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--560},
     year = {2006},
     volume = {16},
     number = {3},
     doi = {10.5802/jolt.423},
     zbl = {1163.17307},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.423/}
}
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%A G. Salgado
%A O. A. Sánchez-Valenzuela
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%J Journal of Lie Theory
%D 2006
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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, Volume 16 (2006) no. 3, pp. 539-560. doi: 10.5802/jolt.423

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